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Gesucht ist eine ",[569,1021,1022],{},"explizite Formel"," für ",[574,1025,1027,1045],{"className":1026},[577],[574,1028,1030],{"className":1029},[581],[583,1031,1032],{"xmlns":585},[587,1033,1034,1042],{},[590,1035,1036],{},[593,1037,1038,1040],{},[596,1039,598],{},[596,1041,601],{},[649,1043,1044],{"encoding":651},"a_n",[574,1046,1048],{"className":1047,"ariaHidden":657},[656],[574,1049,1051,1054],{"className":1050},[661],[574,1052],{"className":1053,"style":666},[665],[574,1055,1057,1060],{"className":1056},[670],[574,1058,598],{"className":1059},[670,674],[574,1061,1063],{"className":1062},[678],[574,1064,1066,1086],{"className":1065},[682,683],[574,1067,1069,1083],{"className":1068},[687],[574,1070,1072],{"className":1071,"style":692},[691],[574,1073,1074,1077],{"style":695},[574,1075],{"className":1076,"style":700},[699],[574,1078,1080],{"className":1079},[704,705,706,707],[574,1081,601],{"className":1082},[670,674,707],[574,1084,715],{"className":1085},[714],[574,1087,1089],{"className":1088},[687],[574,1090,1092],{"className":1091,"style":722},[691],[574,1093],{},".",[565,1096,1097],{},"Lösungsweg:",[1099,1100,1101,1558,1688,2303],"ol",{},[1102,1103,1104,1107,1108,1235,1236,1311,1312,1107,1315,1425,1426,1094],"li",{},[569,1105,1106],{},"Ansatz"," ",[574,1109,1111,1139],{"className":1110},[577],[574,1112,1114],{"className":1113},[581],[583,1115,1116],{"xmlns":585},[587,1117,1118,1136],{},[590,1119,1120,1126,1128],{},[593,1121,1122,1124],{},[596,1123,598],{},[596,1125,601],{},[603,1127,605],{},[1129,1130,1131,1134],"msup",{},[596,1132,1133],{},"λ",[596,1135,601],{},[649,1137,1138],{"encoding":651},"a_n = \\lambda^n",[574,1140,1142,1197],{"className":1141,"ariaHidden":657},[656],[574,1143,1145,1148,1188,1191,1194],{"className":1144},[661],[574,1146],{"className":1147,"style":666},[665],[574,1149,1151,1154],{"className":1150},[670],[574,1152,598],{"className":1153},[670,674],[574,1155,1157],{"className":1156},[678],[574,1158,1160,1180],{"className":1159},[682,683],[574,1161,1163,1177],{"className":1162},[687],[574,1164,1166],{"className":1165,"style":692},[691],[574,1167,1168,1171],{"style":695},[574,1169],{"className":1170,"style":700},[699],[574,1172,1174],{"className":1173},[704,705,706,707],[574,1175,601],{"className":1176},[670,674,707],[574,1178,715],{"className":1179},[714],[574,1181,1183],{"className":1182},[687],[574,1184,1186],{"className":1185,"style":722},[691],[574,1187],{},[574,1189],{"className":1190,"style":729},[728],[574,1192,605],{"className":1193},[733],[574,1195],{"className":1196,"style":729},[728],[574,1198,1200,1204],{"className":1199},[661],[574,1201],{"className":1202,"style":1203},[665],"height:0.6944em;",[574,1205,1207,1210],{"className":1206},[670],[574,1208,1133],{"className":1209},[670,674],[574,1211,1213],{"className":1212},[678],[574,1214,1216],{"className":1215},[682],[574,1217,1219],{"className":1218},[687],[574,1220,1223],{"className":1221,"style":1222},[691],"height:0.6644em;",[574,1224,1226,1229],{"style":1225},"top:-3.063em;margin-right:0.05em;",[574,1227],{"className":1228,"style":700},[699],[574,1230,1232],{"className":1231},[704,705,706,707],[574,1233,601],{"className":1234},[670,674,707]," einsetzen und durch ",[574,1237,1239,1263],{"className":1238},[577],[574,1240,1242],{"className":1241},[581],[583,1243,1244],{"xmlns":585},[587,1245,1246,1260],{},[590,1247,1248],{},[1129,1249,1250,1252],{},[596,1251,1133],{},[590,1253,1254,1256,1258],{},[596,1255,601],{},[603,1257,622],{},[624,1259,647],{},[649,1261,1262],{"encoding":651},"\\lambda^{n-2}",[574,1264,1266],{"className":1265,"ariaHidden":657},[656],[574,1267,1269,1273],{"className":1268},[661],[574,1270],{"className":1271,"style":1272},[665],"height:0.8141em;",[574,1274,1276,1279],{"className":1275},[670],[574,1277,1133],{"className":1278},[670,674],[574,1280,1282],{"className":1281},[678],[574,1283,1285],{"className":1284},[682],[574,1286,1288],{"className":1287},[687],[574,1289,1291],{"className":1290,"style":1272},[691],[574,1292,1293,1296],{"style":1225},[574,1294],{"className":1295,"style":700},[699],[574,1297,1299],{"className":1298},[704,705,706,707],[574,1300,1302,1305,1308],{"className":1301},[670,707],[574,1303,601],{"className":1304},[670,674,707],[574,1306,622],{"className":1307},[787,707],[574,1309,647],{"className":1310},[670,707]," teilen. Es entsteht die ",[569,1313,1314],{},"charakteristische Gleichung",[574,1316,1318,1346],{"className":1317},[577],[574,1319,1321],{"className":1320},[581],[583,1322,1323],{"xmlns":585},[587,1324,1325,1343],{},[590,1326,1327,1333,1335,1337,1339,1341],{},[1129,1328,1329,1331],{},[596,1330,1133],{},[624,1332,647],{},[603,1334,605],{},[596,1336,565],{},[596,1338,1133],{},[603,1340,629],{},[596,1342,632],{},[649,1344,1345],{"encoding":651},"\\lambda^2 = p\\lambda + q",[574,1347,1349,1393,1415],{"className":1348,"ariaHidden":657},[656],[574,1350,1352,1355,1384,1387,1390],{"className":1351},[661],[574,1353],{"className":1354,"style":1272},[665],[574,1356,1358,1361],{"className":1357},[670],[574,1359,1133],{"className":1360},[670,674],[574,1362,1364],{"className":1363},[678],[574,1365,1367],{"className":1366},[682],[574,1368,1370],{"className":1369},[687],[574,1371,1373],{"className":1372,"style":1272},[691],[574,1374,1375,1378],{"style":1225},[574,1376],{"className":1377,"style":700},[699],[574,1379,1381],{"className":1380},[704,705,706,707],[574,1382,647],{"className":1383},[670,707],[574,1385],{"className":1386,"style":729},[728],[574,1388,605],{"className":1389},[733],[574,1391],{"className":1392,"style":729},[728],[574,1394,1396,1400,1403,1406,1409,1412],{"className":1395},[661],[574,1397],{"className":1398,"style":1399},[665],"height:0.8889em;vertical-align:-0.1944em;",[574,1401,565],{"className":1402},[670,674],[574,1404,1133],{"className":1405},[670,674],[574,1407],{"className":1408,"style":806},[728],[574,1410,629],{"className":1411},[787],[574,1413],{"className":1414,"style":806},[728],[574,1416,1418,1422],{"className":1417},[661],[574,1419],{"className":1420,"style":1421},[665],"height:0.625em;vertical-align:-0.1944em;",[574,1423,632],{"className":1424,"style":823},[670,674],", also ",[574,1427,1429,1461],{"className":1428},[577],[574,1430,1432],{"className":1431},[581],[583,1433,1434],{"xmlns":585},[587,1435,1436,1458],{},[590,1437,1438,1444,1446,1448,1450,1452,1454,1456],{},[1129,1439,1440,1442],{},[596,1441,1133],{},[624,1443,647],{},[603,1445,622],{},[596,1447,565],{},[596,1449,1133],{},[603,1451,622],{},[596,1453,632],{},[603,1455,605],{},[624,1457,895],{},[649,1459,1460],{"encoding":651},"\\lambda^2 - p\\lambda - q = 0",[574,1462,1464,1509,1530,1548],{"className":1463,"ariaHidden":657},[656],[574,1465,1467,1471,1500,1503,1506],{"className":1466},[661],[574,1468],{"className":1469,"style":1470},[665],"height:0.8974em;vertical-align:-0.0833em;",[574,1472,1474,1477],{"className":1473},[670],[574,1475,1133],{"className":1476},[670,674],[574,1478,1480],{"className":1479},[678],[574,1481,1483],{"className":1482},[682],[574,1484,1486],{"className":1485},[687],[574,1487,1489],{"className":1488,"style":1272},[691],[574,1490,1491,1494],{"style":1225},[574,1492],{"className":1493,"style":700},[699],[574,1495,1497],{"className":1496},[704,705,706,707],[574,1498,647],{"className":1499},[670,707],[574,1501],{"className":1502,"style":806},[728],[574,1504,622],{"className":1505},[787],[574,1507],{"className":1508,"style":806},[728],[574,1510,1512,1515,1518,1521,1524,1527],{"className":1511},[661],[574,1513],{"className":1514,"style":1399},[665],[574,1516,565],{"className":1517},[670,674],[574,1519,1133],{"className":1520},[670,674],[574,1522],{"className":1523,"style":806},[728],[574,1525,622],{"className":1526},[787],[574,1528],{"className":1529,"style":806},[728],[574,1531,1533,1536,1539,1542,1545],{"className":1532},[661],[574,1534],{"className":1535,"style":1421},[665],[574,1537,632],{"className":1538,"style":823},[670,674],[574,1540],{"className":1541,"style":729},[728],[574,1543,605],{"className":1544},[733],[574,1546],{"className":1547,"style":729},[728],[574,1549,1551,1555],{"className":1550},[661],[574,1552],{"className":1553,"style":1554},[665],"height:0.6444em;",[574,1556,895],{"className":1557},[670],[1102,1559,1560,1561,1687],{},"Die Nullstellen ",[574,1562,1564,1591],{"className":1563},[577],[574,1565,1567],{"className":1566},[581],[583,1568,1569],{"xmlns":585},[587,1570,1571,1588],{},[590,1572,1573,1579,1582],{},[593,1574,1575,1577],{},[596,1576,1133],{},[624,1578,626],{},[603,1580,1581],{"separator":657},",",[593,1583,1584,1586],{},[596,1585,1133],{},[624,1587,647],{},[649,1589,1590],{"encoding":651},"\\lambda_1, \\lambda_2",[574,1592,1594],{"className":1593,"ariaHidden":657},[656],[574,1595,1597,1600,1640,1644,1647],{"className":1596},[661],[574,1598],{"className":1599,"style":1399},[665],[574,1601,1603,1606],{"className":1602},[670],[574,1604,1133],{"className":1605},[670,674],[574,1607,1609],{"className":1608},[678],[574,1610,1612,1632],{"className":1611},[682,683],[574,1613,1615,1629],{"className":1614},[687],[574,1616,1618],{"className":1617,"style":769},[691],[574,1619,1620,1623],{"style":695},[574,1621],{"className":1622,"style":700},[699],[574,1624,1626],{"className":1625},[704,705,706,707],[574,1627,626],{"className":1628},[670,707],[574,1630,715],{"className":1631},[714],[574,1633,1635],{"className":1634},[687],[574,1636,1638],{"className":1637,"style":722},[691],[574,1639],{},[574,1641,1581],{"className":1642},[1643],"mpunct",[574,1645],{"className":1646,"style":750},[728],[574,1648,1650,1653],{"className":1649},[670],[574,1651,1133],{"className":1652},[670,674],[574,1654,1656],{"className":1655},[678],[574,1657,1659,1679],{"className":1658},[682,683],[574,1660,1662,1676],{"className":1661},[687],[574,1663,1665],{"className":1664,"style":769},[691],[574,1666,1667,1670],{"style":695},[574,1668],{"className":1669,"style":700},[699],[574,1671,1673],{"className":1672},[704,705,706,707],[574,1674,647],{"className":1675},[670,707],[574,1677,715],{"className":1678},[714],[574,1680,1682],{"className":1681},[687],[574,1683,1685],{"className":1684,"style":722},[691],[574,1686],{}," bestimmen, z.B. mit der pq-Formel.",[1102,1689,1690,1107,1693,2012,2013,1107,2016,2045,2046,1094],{},[569,1691,1692],{},"Verschiedene Nullstellen:",[574,1694,1696,1748],{"className":1695},[577],[574,1697,1699],{"className":1698},[581],[583,1700,1701],{"xmlns":585},[587,1702,1703,1745],{},[590,1704,1705,1711,1713,1720,1729,1731,1737],{},[593,1706,1707,1709],{},[596,1708,598],{},[596,1710,601],{},[603,1712,605],{},[593,1714,1715,1718],{},[596,1716,1717],{},"c",[624,1719,626],{},[1721,1722,1723,1725,1727],"msubsup",{},[596,1724,1133],{},[624,1726,626],{},[596,1728,601],{},[603,1730,629],{},[593,1732,1733,1735],{},[596,1734,1717],{},[624,1736,647],{},[1721,1738,1739,1741,1743],{},[596,1740,1133],{},[624,1742,647],{},[596,1744,601],{},[649,1746,1747],{"encoding":651},"a_n = c_1 \\lambda_1^n + c_2 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aus den Startwerten 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bestimmen (lineares Gleichungssystem).",[565,2587,2588,2589,2592,2593,2764,2765,3075],{},"Warum das funktioniert: Mit zwei Lösungen ist auch jede Linearkombination eine Lösung (Linearität), und zwei Konstanten reichen, um beliebige Startwerte zu treffen. Bei ",[569,2590,2591],{},"komplexen"," Nullstellen ",[574,2594,2596,2643],{"className":2595},[577],[574,2597,2599],{"className":2598},[581],[583,2600,2601],{"xmlns":585},[587,2602,2603,2640],{},[590,2604,2605,2617,2619,2622,2624],{},[593,2606,2607,2609],{},[596,2608,1133],{},[590,2610,2611,2613,2615],{},[624,2612,626],{},[603,2614,1581],{"separator":657},[624,2616,647],{},[603,2618,605],{},[596,2620,2621],{},"r",[609,2623,611],{},[1129,2625,2626,2629],{},[596,2627,2628],{},"e",[590,2630,2631,2634,2637],{},[603,2632,2633],{},"±",[596,2635,2636],{},"i",[596,2638,2639],{},"θ",[649,2641,2642],{"encoding":651},"\\lambda_{1,2} = r\\,e^{\\pm 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kann man reell als ",[574,2766,2768,2841],{"className":2767},[577],[574,2769,2771],{"className":2770},[581],[583,2772,2773],{"xmlns":585},[587,2774,2775,2838],{},[590,2776,2777,2783,2785,2791],{},[593,2778,2779,2781],{},[596,2780,598],{},[596,2782,601],{},[603,2784,605],{},[1129,2786,2787,2789],{},[596,2788,2621],{},[596,2790,601],{},[590,2792,2793,2795,2801,2804,2807,2809,2811,2813,2815,2817,2823,2826,2828,2830,2832,2834,2836],{},[603,2794,2069],{"fence":657},[593,2796,2797,2799],{},[596,2798,1717],{},[624,2800,626],{},[596,2802,2803],{},"cos",[603,2805,2806],{},"⁡",[603,2808,2069],{"stretchy":2068},[596,2810,601],{},[596,2812,2639],{},[603,2814,2088],{"stretchy":2068},[603,2816,629],{},[593,2818,2819,2821],{},[596,2820,1717],{},[624,2822,647],{},[596,2824,2825],{},"sin",[603,2827,2806],{},[603,2829,2069],{"stretchy":2068},[596,2831,601],{},[596,2833,2639],{},[603,2835,2088],{"stretchy":2068},[603,2837,2088],{"fence":657},[649,2839,2840],{"encoding":651},"a_n = r^n \\left(c_1 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schreiben.",[565,3077,3078,3079,3109,3110,3138,3139,3169,3170,1094],{},"Das Verfahren überträgt sich auf Ordnung ",[574,3080,3082,3096],{"className":3081},[577],[574,3083,3085],{"className":3084},[581],[583,3086,3087],{"xmlns":585},[587,3088,3089,3094],{},[590,3090,3091],{},[596,3092,3093],{},"k",[649,3095,3093],{"encoding":651},[574,3097,3099],{"className":3098,"ariaHidden":657},[656],[574,3100,3102,3105],{"className":3101},[661],[574,3103],{"className":3104,"style":1203},[665],[574,3106,3093],{"className":3107,"style":3108},[670,674],"margin-right:0.0315em;",": Die charakteristische Gleichung hat dann Grad 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= 5a_{n-1} - 6a_{n-2}",[574,3452,3454,3509,3577],{"className":3453,"ariaHidden":657},[656],[574,3455,3457,3460,3500,3503,3506],{"className":3456},[661],[574,3458],{"className":3459,"style":666},[665],[574,3461,3463,3466],{"className":3462},[670],[574,3464,598],{"className":3465},[670,674],[574,3467,3469],{"className":3468},[678],[574,3470,3472,3492],{"className":3471},[682,683],[574,3473,3475,3489],{"className":3474},[687],[574,3476,3478],{"className":3477,"style":692},[691],[574,3479,3480,3483],{"style":695},[574,3481],{"className":3482,"style":700},[699],[574,3484,3486],{"className":3485},[704,705,706,707],[574,3487,601],{"className":3488},[670,674,707],[574,3490,715],{"className":3491},[714],[574,3493,3495],{"className":3494},[687],[574,3496,3498],{"className":3497,"style":722},[691],[574,3499],{},[574,3501],{"className":3502,"style":729},[728],[574,3504,605],{"className":3505},[733],[574,3507],{"className":3508,"style":729},[728],[574,3510,3512,3516,3519,3568,3571,3574],{"className":3511},[661],[574,3513],{"className":3514,"style":3515},[665],"height:0.8528em;vertical-align:-0.2083em;",[574,3517,3418],{"className":3518},[670],[574,3520,3522,3525],{"className":3521},[670],[574,3523,598],{"className":3524},[670,674],[574,3526,3528],{"className":3527},[678],[574,3529,3531,3560],{"className":3530},[682,683],[574,3532,3534,3557],{"className":3533},[687],[574,3535,3537],{"className":3536,"style":769},[691],[574,3538,3539,3542],{"style":695},[574,3540],{"className":3541,"style":700},[699],[574,3543,3545],{"className":3544},[704,705,706,707],[574,3546,3548,3551,3554],{"className":3547},[670,707],[574,3549,601],{"className":3550},[670,674,707],[574,3552,622],{"className":3553},[787,707],[574,3555,626],{"className":3556},[670,707],[574,3558,715],{"className":3559},[714],[574,3561,3563],{"className":3562},[687],[574,3564,3566],{"className":3565,"style":800},[691],[574,3567],{},[574,3569],{"className":3570,"style":806},[728],[574,3572,622],{"className":3573},[787],[574,3575],{"className":3576,"style":806},[728],[574,3578,3580,3583,3586],{"className":3579},[661],[574,3581],{"className":3582,"style":3515},[665],[574,3584,3435],{"className":3585},[670],[574,3587,3589,3592],{"className":3588},[670],[574,3590,598],{"className":3591},[670,674],[574,3593,3595],{"className":3594},[678],[574,3596,3598,3627],{"className":3597},[682,683],[574,3599,3601,3624],{"className":3600},[687],[574,3602,3604],{"className":3603,"style":769},[691],[574,3605,3606,3609],{"style":695},[574,3607],{"className":3608,"style":700},[699],[574,3610,3612],{"className":3611},[704,705,706,707],[574,3613,3615,3618,3621],{"className":3614},[670,707],[574,3616,601],{"className":3617},[670,674,707],[574,3619,622],{"className":3620},[787,707],[574,3622,647],{"className":3623},[670,707],[574,3625,715],{"className":3626},[714],[574,3628,3630],{"className":3629},[687],[574,3631,3633],{"className":3632,"style":800},[691],[574,3634],{}," 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= 3",[574,4075,4077,4132],{"className":4076,"ariaHidden":657},[656],[574,4078,4080,4083,4123,4126,4129],{"className":4079},[661],[574,4081],{"className":4082,"style":3989},[665],[574,4084,4086,4089],{"className":4085},[670],[574,4087,1133],{"className":4088},[670,674],[574,4090,4092],{"className":4091},[678],[574,4093,4095,4115],{"className":4094},[682,683],[574,4096,4098,4112],{"className":4097},[687],[574,4099,4101],{"className":4100,"style":769},[691],[574,4102,4103,4106],{"style":695},[574,4104],{"className":4105,"style":700},[699],[574,4107,4109],{"className":4108},[704,705,706,707],[574,4110,647],{"className":4111},[670,707],[574,4113,715],{"className":4114},[714],[574,4116,4118],{"className":4117},[687],[574,4119,4121],{"className":4120,"style":722},[691],[574,4122],{},[574,4124],{"className":4125,"style":729},[728],[574,4127,605],{"className":4128},[733],[574,4130],{"className":4131,"style":729},[728],[574,4133,4135,4138],{"className":4134},[661],[574,4136],{"className":4137,"style":1554},[665],[574,4139,4070],{"className":4140},[670],". 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= 2 \\cdot 3^n - 2^n",[574,4704,4706,4761,4779,4826],{"className":4705,"ariaHidden":657},[656],[574,4707,4709,4712,4752,4755,4758],{"className":4708},[661],[574,4710],{"className":4711,"style":666},[665],[574,4713,4715,4718],{"className":4714},[670],[574,4716,598],{"className":4717},[670,674],[574,4719,4721],{"className":4720},[678],[574,4722,4724,4744],{"className":4723},[682,683],[574,4725,4727,4741],{"className":4726},[687],[574,4728,4730],{"className":4729,"style":692},[691],[574,4731,4732,4735],{"style":695},[574,4733],{"className":4734,"style":700},[699],[574,4736,4738],{"className":4737},[704,705,706,707],[574,4739,601],{"className":4740},[670,674,707],[574,4742,715],{"className":4743},[714],[574,4745,4747],{"className":4746},[687],[574,4748,4750],{"className":4749,"style":722},[691],[574,4751],{},[574,4753],{"className":4754,"style":729},[728],[574,4756,605],{"className":4757},[733],[574,4759],{"className":4760,"style":729},[728],[574,4762,4764,4767,4770,4773,4776],{"className":4763},[661],[574,4765],{"className":4766,"style":1554},[665],[574,4768,647],{"className":4769},[670],[574,4771],{"className":4772,"style":806},[728],[574,4774,4685],{"className":4775},[787],[574,4777],{"className":4778,"style":806},[728],[574,4780,4782,4786,4817,4820,4823],{"className":4781},[661],[574,4783],{"className":4784,"style":4785},[665],"height:0.7977em;vertical-align:-0.0833em;",[574,4787,4789,4792],{"className":4788},[670],[574,4790,4070],{"className":4791},[670],[574,4793,4795],{"className":4794},[678],[574,4796,4798],{"className":4797},[682],[574,4799,4801],{"className":4800},[687],[574,4802,4805],{"className":4803,"style":4804},[691],"height:0.7144em;",[574,4806,4808,4811],{"style":4807},"top:-3.113em;margin-right:0.05em;",[574,4809],{"className":4810,"style":700},[699],[574,4812,4814],{"className":4813},[704,705,706,707],[574,4815,601],{"className":4816},[670,674,707],[574,4818],{"className":4819,"style":806},[728],[574,4821,622],{"className":4822},[787],[574,4824],{"className":4825,"style":806},[728],[574,4827,4829,4832],{"className":4828},[661],[574,4830],{"className":4831,"style":4804},[665],[574,4833,4835,4838],{"className":4834},[670],[574,4836,647],{"className":4837},[670],[574,4839,4841],{"className":4840},[678],[574,4842,4844],{"className":4843},[682],[574,4845,4847],{"className":4846},[687],[574,4848,4850],{"className":4849,"style":4804},[691],[574,4851,4852,4855],{"style":4807},[574,4853],{"className":4854,"style":700},[699],[574,4856,4858],{"className":4857},[704,705,706,707],[574,4859,601],{"className":4860},[670,674,707],[565,4862,4863,4864,2375,5045,5226,5227,2375,5323,1094],{},"Probe: Rekursiv ist ",[574,4865,4867,4906],{"className":4866},[577],[574,4868,4870],{"className":4869},[581],[583,4871,4872],{"xmlns":585},[587,4873,4874,4903],{},[590,4875,4876,4882,4884,4886,4888,4890,4892,4894,4896,4898,4900],{},[593,4877,4878,4880],{},[596,4879,598],{},[624,4881,647],{},[603,4883,605],{},[624,4885,3418],{},[603,4887,4685],{},[624,4889,3750],{},[603,4891,622],{},[624,4893,3435],{},[603,4895,4685],{},[624,4897,626],{},[603,4899,605],{},[624,4901,4902],{},"14",[649,4904,4905],{"encoding":651},"a_2 = 5 \\cdot 4 - 6 \\cdot 1 = 14",[574,4907,4909,4964,4982,5000,5018,5036],{"className":4908,"ariaHidden":657},[656],[574,4910,4912,4915,4955,4958,4961],{"className":4911},[661],[574,4913],{"className":4914,"style":666},[665],[574,4916,4918,4921],{"className":4917},[670],[574,4919,598],{"className":4920},[670,674],[574,4922,4924],{"className":4923},[678],[574,4925,4927,4947],{"className":4926},[682,683],[574,4928,4930,4944],{"className":4929},[687],[574,4931,4933],{"className":4932,"style":769},[691],[574,4934,4935,4938],{"style":695},[574,4936],{"className":4937,"style":700},[699],[574,4939,4941],{"className":4940},[704,705,706,707],[574,4942,647],{"className":4943},[670,707],[574,4945,715],{"className":4946},[714],[574,4948,4950],{"className":4949},[687],[574,4951,4953],{"className":4952,"style":722},[691],[574,4954],{},[574,4956],{"className":4957,"style":729},[728],[574,4959,605],{"className":4960},[733],[574,4962],{"className":4963,"style":729},[728],[574,4965,4967,4970,4973,4976,4979],{"className":4966},[661],[574,4968],{"className":4969,"style":1554},[665],[574,4971,3418],{"className":4972},[670],[574,4974],{"className":4975,"style":806},[728],[574,4977,4685],{"className":4978},[787],[574,4980],{"className":4981,"style":806},[728],[574,4983,4985,4988,4991,4994,4997],{"className":4984},[661],[574,4986],{"className":4987,"style":4556},[665],[574,4989,3750],{"className":4990},[670],[574,4992],{"className":4993,"style":806},[728],[574,4995,622],{"className":4996},[787],[574,4998],{"className":4999,"style":806},[728],[574,5001,5003,5006,5009,5012,5015],{"className":5002},[661],[574,5004],{"className":5005,"style":1554},[665],[574,5007,3435],{"className":5008},[670],[574,5010],{"className":5011,"style":806},[728],[574,5013,4685],{"className":5014},[787],[574,5016],{"className":5017,"style":806},[728],[574,5019,5021,5024,5027,5030,5033],{"className":5020},[661],[574,5022],{"className":5023,"style":1554},[665],[574,5025,626],{"className":5026},[670],[574,5028],{"className":5029,"style":729},[728],[574,5031,605],{"className":5032},[733],[574,5034],{"className":5035,"style":729},[728],[574,5037,5039,5042],{"className":5038},[661],[574,5040],{"className":5041,"style":1554},[665],[574,5043,4902],{"className":5044},[670],[574,5046,5048,5087],{"className":5047},[577],[574,5049,5051],{"className":5050},[581],[583,5052,5053],{"xmlns":585},[587,5054,5055,5084],{},[590,5056,5057,5063,5065,5067,5069,5071,5073,5075,5077,5079,5081],{},[593,5058,5059,5061],{},[596,5060,598],{},[624,5062,4070],{},[603,5064,605],{},[624,5066,3418],{},[603,5068,4685],{},[624,5070,4902],{},[603,5072,622],{},[624,5074,3435],{},[603,5076,4685],{},[624,5078,3750],{},[603,5080,605],{},[624,5082,5083],{},"46",[649,5085,5086],{"encoding":651},"a_3 = 5 \\cdot 14 - 6 \\cdot 4 = 46",[574,5088,5090,5145,5163,5181,5199,5217],{"className":5089,"ariaHidden":657},[656],[574,5091,5093,5096,5136,5139,5142],{"className":5092},[661],[574,5094],{"className":5095,"style":666},[665],[574,5097,5099,5102],{"className":5098},[670],[574,5100,598],{"className":5101},[670,674],[574,5103,5105],{"className":5104},[678],[574,5106,5108,5128],{"className":5107},[682,683],[574,5109,5111,5125],{"className":5110},[687],[574,5112,5114],{"className":5113,"style":769},[691],[574,5115,5116,5119],{"style":695},[574,5117],{"className":5118,"style":700},[699],[574,5120,5122],{"className":5121},[704,705,706,707],[574,5123,4070],{"className":5124},[670,707],[574,5126,715],{"className":5127},[714],[574,5129,5131],{"className":5130},[687],[574,5132,5134],{"className":5133,"style":722},[691],[574,5135],{},[574,5137],{"className":5138,"style":729},[728],[574,5140,605],{"className":5141},[733],[574,5143],{"className":5144,"style":729},[728],[574,5146,5148,5151,5154,5157,5160],{"className":5147},[661],[574,5149],{"className":5150,"style":1554},[665],[574,5152,3418],{"className":5153},[670],[574,5155],{"className":5156,"style":806},[728],[574,5158,4685],{"className":5159},[787],[574,5161],{"className":5162,"style":806},[728],[574,5164,5166,5169,5172,5175,5178],{"className":5165},[661],[574,5167],{"className":5168,"style":4556},[665],[574,5170,4902],{"className":5171},[670],[574,5173],{"className":5174,"style":806},[728],[574,5176,622],{"className":5177},[787],[574,5179],{"className":5180,"style":806},[728],[574,5182,5184,5187,5190,5193,5196],{"className":5183},[661],[574,5185],{"className":5186,"style":1554},[665],[574,5188,3435],{"className":5189},[670],[574,5191],{"className":5192,"style":806},[728],[574,5194,4685],{"className":5195},[787],[574,5197],{"className":5198,"style":806},[728],[574,5200,5202,5205,5208,5211,5214],{"className":5201},[661],[574,5203],{"className":5204,"style":1554},[665],[574,5206,3750],{"className":5207},[670],[574,5209],{"className":5210,"style":729},[728],[574,5212,605],{"className":5213},[733],[574,5215],{"className":5216,"style":729},[728],[574,5218,5220,5223],{"className":5219},[661],[574,5221],{"className":5222,"style":1554},[665],[574,5224,5083],{"className":5225},[670],". Die Formel liefert ",[574,5228,5230,5257],{"className":5229},[577],[574,5231,5233],{"className":5232},[581],[583,5234,5235],{"xmlns":585},[587,5236,5237,5254],{},[590,5238,5239,5241,5243,5246,5248,5250,5252],{},[624,5240,647],{},[603,5242,4685],{},[624,5244,5245],{},"9",[603,5247,622],{},[624,5249,3750],{},[603,5251,605],{},[624,5253,4902],{},[649,5255,5256],{"encoding":651},"2 \\cdot 9 - 4 = 14",[574,5258,5260,5278,5296,5314],{"className":5259,"ariaHidden":657},[656],[574,5261,5263,5266,5269,5272,5275],{"className":5262},[661],[574,5264],{"className":5265,"style":1554},[665],[574,5267,647],{"className":5268},[670],[574,5270],{"className":5271,"style":806},[728],[574,5273,4685],{"className":5274},[787],[574,5276],{"className":5277,"style":806},[728],[574,5279,5281,5284,5287,5290,5293],{"className":5280},[661],[574,5282],{"className":5283,"style":4556},[665],[574,5285,5245],{"className":5286},[670],[574,5288],{"className":5289,"style":806},[728],[574,5291,622],{"className":5292},[787],[574,5294],{"className":5295,"style":806},[728],[574,5297,5299,5302,5305,5308,5311],{"className":5298},[661],[574,5300],{"className":5301,"style":1554},[665],[574,5303,3750],{"className":5304},[670],[574,5306],{"className":5307,"style":729},[728],[574,5309,605],{"className":5310},[733],[574,5312],{"className":5313,"style":729},[728],[574,5315,5317,5320],{"className":5316},[661],[574,5318],{"className":5319,"style":1554},[665],[574,5321,4902],{"className":5322},[670],[574,5324,5326,5354],{"className":5325},[577],[574,5327,5329],{"className":5328},[581],[583,5330,5331],{"xmlns":585},[587,5332,5333,5351],{},[590,5334,5335,5337,5339,5342,5344,5347,5349],{},[624,5336,647],{},[603,5338,4685],{},[624,5340,5341],{},"27",[603,5343,622],{},[624,5345,5346],{},"8",[603,5348,605],{},[624,5350,5083],{},[649,5352,5353],{"encoding":651},"2 \\cdot 27 - 8 = 46",[574,5355,5357,5375,5393,5411],{"className":5356,"ariaHidden":657},[656],[574,5358,5360,5363,5366,5369,5372],{"className":5359},[661],[574,5361],{"className":5362,"style":1554},[665],[574,5364,647],{"className":5365},[670],[574,5367],{"className":5368,"style":806},[728],[574,5370,4685],{"className":5371},[787],[574,5373],{"className":5374,"style":806},[728],[574,5376,5378,5381,5384,5387,5390],{"className":5377},[661],[574,5379],{"className":5380,"style":4556},[665],[574,5382,5341],{"className":5383},[670],[574,5385],{"className":5386,"style":806},[728],[574,5388,622],{"className":5389},[787],[574,5391],{"className":5392,"style":806},[728],[574,5394,5396,5399,5402,5405,5408],{"className":5395},[661],[574,5397],{"className":5398,"style":1554},[665],[574,5400,5346],{"className":5401},[670],[574,5403],{"className":5404,"style":729},[728],[574,5406,605],{"className":5407},[733],[574,5409],{"className":5410,"style":729},[728],[574,5412,5414,5417],{"className":5413},[661],[574,5415],{"className":5416,"style":1554},[665],[574,5418,5083],{"className":5419},[670],[565,5421,5422,1107,5425,3635,5661,948,5752,4141,5843,4464,6036,6287,6288,2375,6380,1425,6526,4655],{},[569,5423,5424],{},"Doppelte Nullstelle:",[574,5426,5428,5478],{"className":5427},[577],[574,5429,5431],{"className":5430},[581],[583,5432,5433],{"xmlns":585},[587,5434,5435,5475],{},[590,5436,5437,5443,5445,5447,5459,5461,5463],{},[593,5438,5439,5441],{},[596,5440,598],{},[596,5442,601],{},[603,5444,605],{},[624,5446,3750],{},[593,5448,5449,5451],{},[596,5450,598],{},[590,5452,5453,5455,5457],{},[596,5454,601],{},[603,5456,622],{},[624,5458,626],{},[603,5460,622],{},[624,5462,3750],{},[593,5464,5465,5467],{},[596,5466,598],{},[590,5468,5469,5471,5473],{},[596,5470,601],{},[603,5472,622],{},[624,5474,647],{},[649,5476,5477],{"encoding":651},"a_n = 4a_{n-1} - 4a_{n-2}",[574,5479,5481,5536,5603],{"className":5480,"ariaHidden":657},[656],[574,5482,5484,5487,5527,5530,5533],{"className":5483},[661],[574,5485],{"className":5486,"style":666},[665],[574,5488,5490,5493],{"className":5489},[670],[574,5491,598],{"className":5492},[670,674],[574,5494,5496],{"className":5495},[678],[574,5497,5499,5519],{"className":5498},[682,683],[574,5500,5502,5516],{"className":5501},[687],[574,5503,5505],{"className":5504,"style":692},[691],[574,5506,5507,5510],{"style":695},[574,5508],{"className":5509,"style":700},[699],[574,5511,5513],{"className":5512},[704,705,706,707],[574,5514,601],{"className":5515},[670,674,707],[574,5517,715],{"className":5518},[714],[574,5520,5522],{"className":5521},[687],[574,5523,5525],{"className":5524,"style":722},[691],[574,5526],{},[574,5528],{"className":5529,"style":729},[728],[574,5531,605],{"className":5532},[733],[574,5534],{"className":5535,"style":729},[728],[574,5537,5539,5542,5545,5594,5597,5600],{"className":5538},[661],[574,5540],{"className":5541,"style":3515},[665],[574,5543,3750],{"className":5544},[670],[574,5546,5548,5551],{"className":5547},[670],[574,5549,598],{"className":5550},[670,674],[574,5552,5554],{"className":5553},[678],[574,5555,5557,5586],{"className":5556},[682,683],[574,5558,5560,5583],{"className":5559},[687],[574,5561,5563],{"className":5562,"style":769},[691],[574,5564,5565,5568],{"style":695},[574,5566],{"className":5567,"style":700},[699],[574,5569,5571],{"className":5570},[704,705,706,707],[574,5572,5574,5577,5580],{"className":5573},[670,707],[574,5575,601],{"className":5576},[670,674,707],[574,5578,622],{"className":5579},[787,707],[574,5581,626],{"className":5582},[670,707],[574,5584,715],{"className":5585},[714],[574,5587,5589],{"className":5588},[687],[574,5590,5592],{"className":5591,"style":800},[691],[574,5593],{},[574,5595],{"className":5596,"style":806},[728],[574,5598,622],{"className":5599},[787],[574,5601],{"className":5602,"style":806},[728],[574,5604,5606,5609,5612],{"className":5605},[661],[574,5607],{"className":5608,"style":3515},[665],[574,5610,3750],{"className":5611},[670],[574,5613,5615,5618],{"className":5614},[670],[574,5616,598],{"className":5617},[670,674],[574,5619,5621],{"className":5620},[678],[574,5622,5624,5653],{"className":5623},[682,683],[574,5625,5627,5650],{"className":5626},[687],[574,5628,5630],{"className":5629,"style":769},[691],[574,5631,5632,5635],{"style":695},[574,5633],{"className":5634,"style":700},[699],[574,5636,5638],{"className":5637},[704,705,706,707],[574,5639,5641,5644,5647],{"className":5640},[670,707],[574,5642,601],{"className":5643},[670,674,707],[574,5645,622],{"className":5646},[787,707],[574,5648,647],{"className":5649},[670,707],[574,5651,715],{"className":5652},[714],[574,5654,5656],{"className":5655},[687],[574,5657,5659],{"className":5658,"style":800},[691],[574,5660],{},[574,5662,5664,5685],{"className":5663},[577],[574,5665,5667],{"className":5666},[581],[583,5668,5669],{"xmlns":585},[587,5670,5671,5683],{},[590,5672,5673,5679,5681],{},[593,5674,5675,5677],{},[596,5676,598],{},[624,5678,895],{},[603,5680,605],{},[624,5682,626],{},[649,5684,3660],{"encoding":651},[574,5686,5688,5743],{"className":5687,"ariaHidden":657},[656],[574,5689,5691,5694,5734,5737,5740],{"className":5690},[661],[574,5692],{"className":5693,"style":666},[665],[574,5695,5697,5700],{"className":5696},[670],[574,5698,598],{"className":5699},[670,674],[574,5701,5703],{"className":5702},[678],[574,5704,5706,5726],{"className":5705},[682,683],[574,5707,5709,5723],{"className":5708},[687],[574,5710,5712],{"className":5711,"style":769},[691],[574,5713,5714,5717],{"style":695},[574,5715],{"className":5716,"style":700},[699],[574,5718,5720],{"className":5719},[704,705,706,707],[574,5721,895],{"className":5722},[670,707],[574,5724,715],{"className":5725},[714],[574,5727,5729],{"className":5728},[687],[574,5730,5732],{"className":5731,"style":722},[691],[574,5733],{},[574,5735],{"className":5736,"style":729},[728],[574,5738,605],{"className":5739},[733],[574,5741],{"className":5742,"style":729},[728],[574,5744,5746,5749],{"className":5745},[661],[574,5747],{"className":5748,"style":1554},[665],[574,5750,626],{"className":5751},[670],[574,5753,5755,5776],{"className":5754},[577],[574,5756,5758],{"className":5757},[581],[583,5759,5760],{"xmlns":585},[587,5761,5762,5774],{},[590,5763,5764,5770,5772],{},[593,5765,5766,5768],{},[596,5767,598],{},[624,5769,626],{},[603,5771,605],{},[624,5773,3750],{},[649,5775,3753],{"encoding":651},[574,5777,5779,5834],{"className":5778,"ariaHidden":657},[656],[574,5780,5782,5785,5825,5828,5831],{"className":5781},[661],[574,5783],{"className":5784,"style":666},[665],[574,5786,5788,5791],{"className":5787},[670],[574,5789,598],{"className":5790},[670,674],[574,5792,5794],{"className":5793},[678],[574,5795,5797,5817],{"className":5796},[682,683],[574,5798,5800,5814],{"className":5799},[687],[574,5801,5803],{"className":5802,"style":769},[691],[574,5804,5805,5808]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- 4\\lambda + 4 = (\\lambda - 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4",[574,6418,6420,6441,6499,6517],{"className":6419,"ariaHidden":657},[656],[574,6421,6423,6426,6429,6432,6435,6438],{"className":6422},[661],[574,6424],{"className":6425,"style":2164},[665],[574,6427,2069],{"className":6428},[2168],[574,6430,626],{"className":6431},[670],[574,6433],{"className":6434,"style":806},[728],[574,6436,629],{"className":6437},[787],[574,6439],{"className":6440,"style":806},[728],[574,6442,6444,6447,6487,6490,6493,6496],{"className":6443},[661],[574,6445],{"className":6446,"style":2164},[665],[574,6448,6450,6453],{"className":6449},[670],[574,6451,1717],{"className":6452},[670,674],[574,6454,6456],{"className":6455},[678],[574,6457,6459,6479],{"className":6458},[682,683],[574,6460,6462,6476],{"className":6461},[687],[574,6463,6465],{"className":6464,"style":769},[691],[574,6466,6467,6470],{"style":695},[574,6468],{"className":6469,"style":700},[699],[574,6471,6473],{"className":6472},[704,705,706,707],[574,6474,647],{"className":6475},[670,707],[574,6477,715],{"className":6478},[714],[574,6480,6482],{"className":6481},[687],[574,6483,6485],{"className":6484,"style":722},[691],[574,6486],{},[574,6488,2088],{"className":6489},[2270],[574,6491],{"className":6492,"style":806},[728],[574,6494,4685],{"className":6495},[787],[574,6497],{"className":6498,"style":806},[728],[574,6500,6502,6505,6508,6511,6514],{"className":6501},[661],[574,6503],{"className":6504,"style":1554},[665],[574,6506,647],{"className":6507},[670],[574,6509],{"className":6510,"style":729},[728],[574,6512,605],{"className":6513},[733],[574,6515],{"className":6516,"style":729},[728],[574,6518,6520,6523],{"className":6519},[661],[574,6521],{"className":6522,"style":1554},[665],[574,6524,3750],{"className":6525},[670],[574,6527,6529,6551],{"className":6528},[577],[574,6530,6532],{"className":6531},[581],[583,6533,6534],{"xmlns":585},[587,6535,6536,6548],{},[590,6537,6538,6544,6546],{},[593,6539,6540,6542],{},[596,6541,1717],{},[624,6543,647],{},[603,6545,605],{},[624,6547,626],{},[649,6549,6550],{"encoding":651},"c_2 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nicht ",[574,7393,7395,7427],{"className":7394},[577],[574,7396,7398],{"className":7397},[581],[583,7399,7400],{"xmlns":585},[587,7401,7402,7424],{},[590,7403,7404,7410,7412,7414,7416,7418,7420,7422],{},[1129,7405,7406,7408],{},[596,7407,1133],{},[624,7409,647],{},[603,7411,629],{},[624,7413,3418],{},[596,7415,1133],{},[603,7417,622],{},[624,7419,3435],{},[603,7421,605],{},[624,7423,895],{},[649,7425,7426],{"encoding":651},"\\lambda^2 + 5\\lambda - 6 = 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doppelter Nullstelle nur 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ansetzen."," Dann reicht eine Konstante nicht für zwei Startwerte. Der Faktor ",[574,7599,7601,7614],{"className":7600},[577],[574,7602,7604],{"className":7603},[581],[583,7605,7606],{"xmlns":585},[587,7607,7608,7612],{},[590,7609,7610],{},[596,7611,601],{},[649,7613,601],{"encoding":651},[574,7615,7617],{"className":7616,"ariaHidden":657},[656],[574,7618,7620,7623],{"className":7619},[661],[574,7621],{"className":7622,"style":3165},[665],[574,7624,601],{"className":7625},[670,674]," beim zweiten Term ist nötig.",[1102,7628,7629,7940,7941,8065],{},[569,7630,7631,7632,7756,7757,7881,7882,7910,7911,7939],{},"Konstanten mit ",[574,7633,7635,7661],{"className":7634},[577],[574,7636,7638],{"className":7637},[581],[583,7639,7640],{"xmlns":585},[587,7641,7642,7658],{},[590,7643,7644,7650,7652],{},[593,7645,7646,7648],{},[596,7647,598],{},[624,7649,626],{},[603,7651,1581],{"separator":657},[593,7653,7654,7656],{},[596,7655,598],{},[624,7657,647],{},[649,7659,7660],{"encoding":651},"a_1, 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statt ",[574,7758,7760,7786],{"className":7759},[577],[574,7761,7763],{"className":7762},[581],[583,7764,7765],{"xmlns":585},[587,7766,7767,7783],{},[590,7768,7769,7775,7777],{},[593,7770,7771,7773],{},[596,7772,598],{},[624,7774,895],{},[603,7776,1581],{"separator":657},[593,7778,7779,7781],{},[596,7780,598],{},[624,7782,626],{},[649,7784,7785],{"encoding":651},"a_0, a_1",[574,7787,7789],{"className":7788,"ariaHidden":657},[656],[574,7790,7792,7795,7835,7838,7841],{"className":7791},[661],[574,7793],{"className":7794,"style":1421},[665],[574,7796,7798,7801],{"className":7797},[670],[574,7799,598],{"className":7800},[670,674],[574,7802,7804],{"className":7803},[678],[574,7805,7807,7827],{"className":7806},[682,683],[574,7808,7810,7824],{"className":7809},[687],[574,7811,7813],{"className":7812,"style":769},[691],[574,7814,7815,7818],{"style":695},[574,7816],{"className":7817,"style":700},[699],[574,7819,7821],{"className":7820},[704,705,706,707],[574,7822,895],{"className":7823},[670,707],[574,7825,715],{"className":7826},[714],[574,7828,7830],{"className":7829},[687],[574,7831,7833],{"className":7832,"style":722},[691],[574,7834],{},[574,7836,1581],{"className":7837},[1643],[574,7839],{"className":7840,"style":750},[728],[574,7842,7844,7847],{"className":7843},[670],[574,7845,598],{"className":7846},[670,674],[574,7848,7850],{"className":7849},[678],[574,7851,7853,7873],{"className":7852},[682,683],[574,7854,7856,7870],{"className":7855},[687],[574,7857,7859],{"className":7858,"style":769},[691],[574,7860,7861,7864],{"style":695},[574,7862],{"className":7863,"style":700},[699],[574,7865,7867],{"className":7866},[704,705,706,707],[574,7868,626],{"className":7869},[670,707],[574,7871,715],{"className":7872},[714],[574,7874,7876],{"className":7875},[687],[574,7877,7879],{"className":7878,"style":722},[691],[574,7880],{}," bestimmen, aber ",[574,7883,7885,7898],{"className":7884},[577],[574,7886,7888],{"className":7887},[581],[583,7889,7890],{"xmlns":585},[587,7891,7892,7896],{},[590,7893,7894],{},[596,7895,601],{},[649,7897,601],{"encoding":651},[574,7899,7901],{"className":7900,"ariaHidden":657},[656],[574,7902,7904,7907],{"className":7903},[661],[574,7905],{"className":7906,"style":3165},[665],[574,7908,601],{"className":7909},[670,674]," ab ",[574,7912,7914,7927],{"className":7913},[577],[574,7915,7917],{"className":7916},[581],[583,7918,7919],{"xmlns":585},[587,7920,7921,7925],{},[590,7922,7923],{},[624,7924,895],{},[649,7926,895],{"encoding":651},[574,7928,7930],{"className":7929,"ariaHidden":657},[656],[574,7931,7933,7936],{"className":7932},[661],[574,7934],{"className":7935,"style":1554},[665],[574,7937,895],{"className":7938},[670]," zählen."," Die Gleichungen für ",[574,7942,7944,7970],{"className":7943},[577],[574,7945,7947],{"className":7946},[581],[583,7948,7949],{"xmlns":585},[587,7950,7951,7967],{},[590,7952,7953,7959,7961],{},[593,7954,7955,7957],{},[596,7956,1717],{},[624,7958,626],{},[603,7960,1581],{"separator":657},[593,7962,7963,7965],{},[596,7964,1717],{},[624,7966,647],{},[649,7968,7969],{"encoding":651},"c_1, c_2",[574,7971,7973],{"className":7972,"ariaHidden":657},[656],[574,7974,7976,7979,8019,8022,8025],{"className":7975},[661],[574,7977],{"className":7978,"style":1421},[665],[574,7980,7982,7985],{"className":7981},[670],[574,7983,1717],{"className":7984},[670,674],[574,7986,7988],{"className":7987},[678],[574,7989,7991,8011],{"className":7990},[682,683],[574,7992,7994,8008],{"className":7993},[687],[574,7995,7997],{"className":7996,"style":769},[691],[574,7998,7999,8002],{"style":695},[574,8000],{"className":8001,"style":700},[699],[574,8003,8005],{"className":8004},[704,705,706,707],[574,8006,626],{"className":8007},[670,707],[574,8009,715],{"className":8010},[714],[574,8012,8014],{"className":8013},[687],[574,8015,8017],{"className":8016,"style":722},[691],[574,8018],{},[574,8020,1581],{"className":8021},[1643],[574,8023],{"className":8024,"style":750},[728],[574,8026,8028,8031],{"className":8027},[670],[574,8029,1717],{"className":8030},[670,674],[574,8032,8034],{"className":8033},[678],[574,8035,8037,8057],{"className":8036},[682,683],[574,8038,8040,8054],{"className":8039},[687],[574,8041,8043],{"className":8042,"style":769},[691],[574,8044,8045,8048],{"style":695},[574,8046],{"className":8047,"style":700},[699],[574,8049,8051],{"className":8050},[704,705,706,707],[574,8052,647],{"className":8053},[670,707],[574,8055,715],{"className":8056},[714],[574,8058,8060],{"className":8059},[687],[574,8061,8063],{"className":8062,"style":722},[691],[574,8064],{}," müssen zu den Indizes der gegebenen Startwerte passen.",{"title":8067,"searchDepth":8068,"depth":8068,"links":8069},"",2,[8070,8071,8072],{"id":562,"depth":8068,"text":563},{"id":3390,"depth":8068,"text":3391},{"id":7015,"depth":8068,"text":7016},[8074,8077,8079,8081,8083,8085,8087,8089,8091,8093,8096,8098,8100],{"lhs":8075,"rhs":8076},"2*3^n - 2^n","5*(2*3^(n-1) - 2^(n-1)) - 6*(2*3^(n-2) - 2^(n-2))",{"lhs":8078,"rhs":895},"3^2 - 5*3 + 6",{"lhs":8080,"rhs":895},"2^2 - 5*2 + 6",{"lhs":8082,"rhs":626},"-1 + 2",{"lhs":8084,"rhs":3750},"2*(-1) + 3*2",{"lhs":8086,"rhs":4902},"5*4 - 6*1",{"lhs":8088,"rhs":4902},"2*3^2 - 2^2",{"lhs":8090,"rhs":5083},"5*14 - 6*4",{"lhs":8092,"rhs":5083},"2*3^3 - 2^3",{"lhs":8094,"rhs":8095},"(1 + n)*2^n","4*(1 + (n-1))*2^(n-1) - 4*(1 + (n-2))*2^(n-2)",{"lhs":8097,"rhs":6826},"4*4 - 4*1",{"lhs":8099,"rhs":6826},"(1 + 2)*2^2",{"lhs":8101,"rhs":3750},"(1 + 1)*2^1","p, q \\in \\mathbb{R},\\ q \\neq 0,\\ \\lambda_1 \\neq \\lambda_2 \\text{ Lösungen von } \\lambda^2 = p\\lambda + q,\\ n \\geq 2 \\text{ in der Rekursion}","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>p\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>q\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmi mathvariant=\"double-struck\">R\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">p, q \\in \\mathbb{R},\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7335em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">q\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">∈\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8833em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathbb\">R\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>q\u003C\u002Fmi>\u003Cmo mathvariant=\"normal\">≠\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">q \\neq 0,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">q\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">\u003Cspan class=\"mrel\">\u003Cspan class=\"mord katex-vbox\">\u003Cspan class=\"katex-thinbox\">\u003Cspan class=\"rlap\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-inner\">\u003Cspan class=\"mord\">\u003Cspan class=\"mrel\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-fix\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace nobreak\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8389em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>λ\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo mathvariant=\"normal\">≠\u003C\u002Fmo>\u003Cmsub>\u003Cmi>λ\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\lambda_1 \\neq \\lambda_2\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">λ\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">\u003Cspan class=\"mrel\">\u003Cspan class=\"mord katex-vbox\">\u003Cspan class=\"katex-thinbox\">\u003Cspan class=\"rlap\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-inner\">\u003Cspan class=\"mord\">\u003Cspan class=\"mrel\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-fix\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace nobreak\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8444em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">λ\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">Lösungen von\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsup>\u003Cmi>λ\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>p\u003C\u002Fmi>\u003Cmi>λ\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>q\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\lambda^2 = p\\lambda + q,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8141em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">λ\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8141em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">λ\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">q\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>≥\u003C\u002Fmo>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n \\geq 2\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7719em;vertical-align:-0.136em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">≥\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">in der Rekursion\u003C\u002Fspan>",null,"md","recurrence-linear","a_n = p\\,a_{n-1} + q\\,a_{n-2} \\;\\Rightarrow\\; a_n = c_1 \\lambda_1^{n} + c_2 \\lambda_2^{n}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>a\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>p\u003C\u002Fmi>\u003Cmtext> \u003C\u002Fmtext>\u003Cmsub>\u003Cmi>a\u003C\u002Fmi>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmsub>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>q\u003C\u002Fmi>\u003Cmtext> \u003C\u002Fmtext>\u003Cmsub>\u003Cmi>a\u003C\u002Fmi>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmsub>\u003Cmtext>  \u003C\u002Fmtext>\u003Cmo>⇒\u003C\u002Fmo>\u003Cmtext>  \u003C\u002Fmtext>\u003Cmsub>\u003Cmi>a\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>=\u003C\u002Fmo>\u003Cmsub>\u003Cmi>c\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmsubsup>\u003Cmi>λ\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsubsup>\u003Cmo>+\u003C\u002Fmo>\u003Cmsub>\u003Cmi>c\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmsubsup>\u003Cmi>λ\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsubsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a_n = p\\,a_{n-1} + q\\,a_{n-2} \\;\\Rightarrow\\; a_n = c_1 \\lambda_1^{n} + c_2 \\lambda_2^{n}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.5806em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7917em;vertical-align:-0.2083em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003Cspan class=\"mbin mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.2083em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" 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