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Dann werden die ",[568,878,879],{},"Wachstumsfaktoren"," gemittelt, nicht die Prozentsätze:",[882,883,884,977],"ul",{},[885,886,887,888,934,935,869],"li",{},"Zunahme um ",[573,889,891,914],{"className":890},[576],[573,892,894],{"className":893},[580],[582,895,896],{"xmlns":584},[586,897,898,911],{},[589,899,900,903,907],{},[672,901,902],{},"10",[904,905,906],"mtext",{}," ",[592,908,910],{"mathvariant":909},"normal","%",[596,912,913],{"encoding":598},"10\\,\\%",[573,915,917],{"className":916,"ariaHidden":603},[602],[573,918,920,924,927,931],{"className":919},[607],[573,921],{"className":922,"style":923},[611],"height:0.8056em;vertical-align:-0.0556em;",[573,925,902],{"className":926},[616],[573,928],{"className":929,"style":930},[785],"margin-right:0.1667em;",[573,932,910],{"className":933},[616]," ergibt den Faktor ",[573,936,938,953],{"className":937},[576],[573,939,941],{"className":940},[580],[582,942,943],{"xmlns":584},[586,944,945,950],{},[589,946,947],{},[672,948,949],{},"1,1",[596,951,952],{"encoding":598},"1{,}1",[573,954,956],{"className":955,"ariaHidden":603},[602],[573,957,959,963,966,974],{"className":958},[607],[573,960],{"className":961,"style":962},[611],"height:0.8389em;vertical-align:-0.1944em;",[573,964,674],{"className":965},[616],[573,967,969],{"className":968},[616],[573,970,973],{"className":971},[972],"mpunct",",",[573,975,674],{"className":976},[616],[885,978,979,980,934,1020,869],{},"Abnahme um ",[573,981,983,1002],{"className":982},[576],[573,984,986],{"className":985},[580],[582,987,988],{"xmlns":584},[586,989,990,999],{},[589,991,992,995,997],{},[672,993,994],{},"20",[904,996,906],{},[592,998,910],{"mathvariant":909},[596,1000,1001],{"encoding":598},"20\\,\\%",[573,1003,1005],{"className":1004,"ariaHidden":603},[602],[573,1006,1008,1011,1014,1017],{"className":1007},[607],[573,1009],{"className":1010,"style":923},[611],[573,1012,994],{"className":1013},[616],[573,1015],{"className":1016,"style":930},[785],[573,1018,910],{"className":1019},[616],[573,1021,1023,1038],{"className":1022},[576],[573,1024,1026],{"className":1025},[580],[582,1027,1028],{"xmlns":584},[586,1029,1030,1035],{},[589,1031,1032],{},[672,1033,1034],{},"0,8",[596,1036,1037],{"encoding":598},"0{,}8",[573,1039,1041],{"className":1040,"ariaHidden":603},[602],[573,1042,1044,1047,1051,1057],{"className":1043},[607],[573,1045],{"className":1046,"style":962},[611],[573,1048,1050],{"className":1049},[616],"0",[573,1052,1054],{"className":1053},[616],[573,1055,973],{"className":1056},[972],[573,1058,1060],{"className":1059},[616],"8",[564,1062,1063],{},"Das geometrische Mittel ist der Faktor, der, jedes Jahr gleich angewendet, zum selben Endwert führt.",[564,1065,1066],{},"Alle Werte müssen positiv sein. Bei Zahlen, die nicht alle gleich sind, ist das geometrische Mittel immer kleiner als das arithmetische Mittel.",[559,1068,1070],{"id":1069},"beispiele","Beispiele",[564,1072,1073,1074,1103,1104,1132],{},"Für ",[573,1075,1077,1090],{"className":1076},[576],[573,1078,1080],{"className":1079},[580],[582,1081,1082],{"xmlns":584},[586,1083,1084,1088],{},[589,1085,1086],{},[672,1087,685],{},[596,1089,685],{"encoding":598},[573,1091,1093],{"className":1092,"ariaHidden":603},[602],[573,1094,1096,1100],{"className":1095},[607],[573,1097],{"className":1098,"style":1099},[611],"height:0.6444em;",[573,1101,685],{"className":1102},[616]," und ",[573,1105,1107,1120],{"className":1106},[576],[573,1108,1110],{"className":1109},[580],[582,1111,1112],{"xmlns":584},[586,1113,1114,1118],{},[589,1115,1116],{},[672,1117,1060],{},[596,1119,1060],{"encoding":598},[573,1121,1123],{"className":1122,"ariaHidden":603},[602],[573,1124,1126,1129],{"className":1125},[607],[573,1127],{"className":1128,"style":1099},[611],[573,1130,1060],{"className":1131},[616],":",[573,1134,1137],{"className":1135},[1136],"katex-display",[573,1138,1140,1191],{"className":1139},[576],[573,1141,1143],{"className":1142},[580],[582,1144,1146],{"xmlns":584,"display":1145},"block",[586,1147,1148,1188],{},[589,1149,1150,1163,1166,1176,1178,1183,1185],{},[666,1151,1152,1160],{},[1153,1154,1155,1157],"mover",{"accent":603},[592,1156,670],{},[676,1158,1159],{},"ˉ",[904,1161,1162],{},"geo",[676,1164,1165],{},"=",[661,1167,1168],{},[589,1169,1170,1172,1174],{},[672,1171,685],{},[676,1173,678],{},[672,1175,1060],{},[676,1177,1165],{},[661,1179,1180],{},[672,1181,1182],{},"16",[676,1184,1165],{},[672,1186,1187],{},"4",[596,1189,1190],{"encoding":598},"\\bar{x}_{\\text{geo}} = \\sqrt{2 \\cdot 8} = \\sqrt{16} = 4",[573,1192,1194,1293,1371,1433],{"className":1193,"ariaHidden":603},[602],[573,1195,1197,1201,1282,1286,1290],{"className":1196},[607],[573,1198],{"className":1199,"style":1200},[611],"height:0.8539em;vertical-align:-0.2861em;",[573,1202,1204,1239],{"className":1203},[616],[573,1205,1208],{"className":1206},[616,1207],"accent",[573,1209,1211],{"className":1210},[706],[573,1212,1214],{"className":1213},[711],[573,1215,1218,1226],{"className":1216,"style":1217},[715],"height:0.5678em;",[573,1219,1220,1223],{"style":721},[573,1221],{"className":1222,"style":726},[725],[573,1224,670],{"className":1225},[616,617],[573,1227,1228,1231],{"style":721},[573,1229],{"className":1230,"style":726},[725],[573,1232,1236],{"className":1233,"style":1235},[1234],"accent-body","left:-0.2222em;",[573,1237,1159],{"className":1238},[616],[573,1240,1242],{"className":1241},[740],[573,1243,1245,1273],{"className":1244},[706,707],[573,1246,1248,1270],{"className":1247},[711],[573,1249,1252],{"className":1250,"style":1251},[715],"height:0.1514em;",[573,1253,1254,1257],{"style":753},[573,1255],{"className":1256,"style":757},[725],[573,1258,1260],{"className":1259},[761,762,763,764],[573,1261,1263],{"className":1262},[616,764],[573,1264,1267],{"className":1265},[616,1266,764],"text",[573,1268,1162],{"className":1269},[616,764],[573,1271,772],{"className":1272},[771],[573,1274,1276],{"className":1275},[711],[573,1277,1280],{"className":1278,"style":1279},[715],"height:0.2861em;",[573,1281],{},[573,1283],{"className":1284,"style":1285},[785],"margin-right:0.2778em;",[573,1287,1165],{"className":1288},[1289],"mrel",[573,1291],{"className":1292,"style":1285},[785],[573,1294,1296,1300,1362,1365,1368],{"className":1295},[607],[573,1297],{"className":1298,"style":1299},[611],"height:1.04em;vertical-align:-0.0839em;",[573,1301,1303],{"className":1302},[616,702],[573,1304,1306,1353],{"className":1305},[706,707],[573,1307,1309,1350],{"className":1308},[711],[573,1310,1313,1337],{"className":1311,"style":1312},[715],"height:0.9561em;",[573,1314,1316,1319],{"className":1315,"style":721},[720],[573,1317],{"className":1318,"style":726},[725],[573,1320,1322,1325,1328,1331,1334],{"className":1321,"style":730},[616],[573,1323,685],{"className":1324},[616],[573,1326],{"className":1327,"style":786},[785],[573,1329,678],{"className":1330},[790],[573,1332],{"className":1333,"style":786},[785],[573,1335,1060],{"className":1336},[616],[573,1338,1340,1343],{"style":1339},"top:-2.9161em;",[573,1341],{"className":1342,"style":726},[725],[573,1344,1346],{"className":1345,"style":844},[843],[846,1347,1348],{"xmlns":848,"width":849,"height":850,"viewBox":851,"preserveAspectRatio":852},[854,1349],{"d":856},[573,1351,772],{"className":1352},[771],[573,1354,1356],{"className":1355},[711],[573,1357,1360],{"className":1358,"style":1359},[715],"height:0.0839em;",[573,1361],{},[573,1363],{"className":1364,"style":1285},[785],[573,1366,1165],{"className":1367},[1289],[573,1369],{"className":1370,"style":1285},[785],[573,1372,1374,1377,1424,1427,1430],{"className":1373},[607],[573,1375],{"className":1376,"style":1299},[611],[573,1378,1380],{"className":1379},[616,702],[573,1381,1383,1416],{"className":1382},[706,707],[573,1384,1386,1413],{"className":1385},[711],[573,1387,1389,1401],{"className":1388,"style":1312},[715],[573,1390,1392,1395],{"className":1391,"style":721},[720],[573,1393],{"className":1394,"style":726},[725],[573,1396,1398],{"className":1397,"style":730},[616],[573,1399,1182],{"className":1400},[616],[573,1402,1403,1406],{"style":1339},[573,1404],{"className":1405,"style":726},[725],[573,1407,1409],{"className":1408,"style":844},[843],[846,1410,1411],{"xmlns":848,"width":849,"height":850,"viewBox":851,"preserveAspectRatio":852},[854,1412],{"d":856},[573,1414,772],{"className":1415},[771],[573,1417,1419],{"className":1418},[711],[573,1420,1422],{"className":1421,"style":1359},[715],[573,1423],{},[573,1425],{"className":1426,"style":1285},[785],[573,1428,1165],{"className":1429},[1289],[573,1431],{"className":1432,"style":1285},[785],[573,1434,1436,1439],{"className":1435},[607],[573,1437],{"className":1438,"style":1099},[611],[573,1440,1187],{"className":1441},[616],[564,1443,1444,1445,869],{},"Das arithmetische Mittel wäre ",[573,1446,1448,1479],{"className":1447},[576],[573,1449,1451],{"className":1450},[580],[582,1452,1453],{"xmlns":584},[586,1454,1455,1476],{},[589,1456,1457,1471,1473],{},[1458,1459,1460,1469],"mfrac",{},[589,1461,1462,1464,1467],{},[672,1463,685],{},[676,1465,1466],{},"+",[672,1468,1060],{},[672,1470,685],{},[676,1472,1165],{},[672,1474,1475],{},"5",[596,1477,1478],{"encoding":598},"\\frac{2 + 8}{2} = 5",[573,1480,1482,1582],{"className":1481,"ariaHidden":603},[602],[573,1483,1485,1489,1573,1576,1579],{"className":1484},[607],[573,1486],{"className":1487,"style":1488},[611],"height:1.1901em;vertical-align:-0.345em;",[573,1490,1492,1497,1569],{"className":1491},[616],[573,1493],{"className":1494},[1495,1496],"mopen","nulldelimiter",[573,1498,1500],{"className":1499},[1458],[573,1501,1503,1560],{"className":1502},[706,707],[573,1504,1506,1557],{"className":1505},[711],[573,1507,1510,1525,1536],{"className":1508,"style":1509},[715],"height:0.8451em;",[573,1511,1513,1516],{"style":1512},"top:-2.655em;",[573,1514],{"className":1515,"style":726},[725],[573,1517,1519],{"className":1518},[761,762,763,764],[573,1520,1522],{"className":1521},[616,764],[573,1523,685],{"className":1524},[616,764],[573,1526,1528,1531],{"style":1527},"top:-3.23em;",[573,1529],{"className":1530,"style":726},[725],[573,1532],{"className":1533,"style":1535},[1534],"frac-line","border-bottom-width:0.04em;",[573,1537,1539,1542],{"style":1538},"top:-3.394em;",[573,1540],{"className":1541,"style":726},[725],[573,1543,1545],{"className":1544},[761,762,763,764],[573,1546,1548,1551,1554],{"className":1547},[616,764],[573,1549,685],{"className":1550},[616,764],[573,1552,1466],{"className":1553},[790,764],[573,1555,1060],{"className":1556},[616,764],[573,1558,772],{"className":1559},[771],[573,1561,1563],{"className":1562},[711],[573,1564,1567],{"className":1565,"style":1566},[715],"height:0.345em;",[573,1568],{},[573,1570],{"className":1571},[1572,1496],"mclose",[573,1574],{"className":1575,"style":1285},[785],[573,1577,1165],{"className":1578},[1289],[573,1580],{"className":1581,"style":1285},[785],[573,1583,1585,1588],{"className":1584},[607],[573,1586],{"className":1587,"style":1099},[611],[573,1589,1475],{"className":1590},[616],[564,1592,1593,1594,1622,1623,1103,1652,1681,1682,1132],{},"Für die drei Zahlen ",[573,1595,1597,1610],{"className":1596},[576],[573,1598,1600],{"className":1599},[580],[582,1601,1602],{"xmlns":584},[586,1603,1604,1608],{},[589,1605,1606],{},[672,1607,1187],{},[596,1609,1187],{"encoding":598},[573,1611,1613],{"className":1612,"ariaHidden":603},[602],[573,1614,1616,1619],{"className":1615},[607],[573,1617],{"className":1618,"style":1099},[611],[573,1620,1187],{"className":1621},[616],", ",[573,1624,1626,1640],{"className":1625},[576],[573,1627,1629],{"className":1628},[580],[582,1630,1631],{"xmlns":584},[586,1632,1633,1638],{},[589,1634,1635],{},[672,1636,1637],{},"6",[596,1639,1637],{"encoding":598},[573,1641,1643],{"className":1642,"ariaHidden":603},[602],[573,1644,1646,1649],{"className":1645},[607],[573,1647],{"className":1648,"style":1099},[611],[573,1650,1637],{"className":1651},[616],[573,1653,1655,1669],{"className":1654},[576],[573,1656,1658],{"className":1657},[580],[582,1659,1660],{"xmlns":584},[586,1661,1662,1667],{},[589,1663,1664],{},[672,1665,1666],{},"9",[596,1668,1666],{"encoding":598},[573,1670,1672],{"className":1671,"ariaHidden":603},[602],[573,1673,1675,1678],{"className":1674},[607],[573,1676],{"className":1677,"style":1099},[611],[573,1679,1666],{"className":1680},[616]," ist das Produkt ",[573,1683,1685,1699],{"className":1684},[576],[573,1686,1688],{"className":1687},[580],[582,1689,1690],{"xmlns":584},[586,1691,1692,1697],{},[589,1693,1694],{},[672,1695,1696],{},"216",[596,1698,1696],{"encoding":598},[573,1700,1702],{"className":1701,"ariaHidden":603},[602],[573,1703,1705,1708],{"className":1704},[607],[573,1706],{"className":1707,"style":1099},[611],[573,1709,1696],{"className":1710},[616],[573,1712,1714],{"className":1713},[1136],[573,1715,1717,1771],{"className":1716},[576],[573,1718,1720],{"className":1719},[580],[582,1721,1722],{"xmlns":584,"display":1145},[586,1723,1724,1768],{},[589,1725,1726,1736,1738,1756,1758,1764,1766],{},[666,1727,1728,1734],{},[1153,1729,1730,1732],{"accent":603},[592,1731,670],{},[676,1733,1159],{},[904,1735,1162],{},[676,1737,1165],{},[1739,1740,1741,1753],"mroot",{},[589,1742,1743,1745,1747,1749,1751],{},[672,1744,1187],{},[676,1746,678],{},[672,1748,1637],{},[676,1750,678],{},[672,1752,1666],{},[672,1754,1755],{},"3",[676,1757,1165],{},[1739,1759,1760,1762],{},[672,1761,1696],{},[672,1763,1755],{},[676,1765,1165],{},[672,1767,1637],{},[596,1769,1770],{"encoding":598},"\\bar{x}_{\\text{geo}} = \\sqrt[3]{4 \\cdot 6 \\cdot 9} = \\sqrt[3]{216} = 6",[573,1772,1774,1863,1980,2068],{"className":1773,"ariaHidden":603},[602],[573,1775,1777,1780,1854,1857,1860],{"className":1776},[607],[573,1778],{"className":1779,"style":1200},[611],[573,1781,1783,1814],{"className":1782},[616],[573,1784,1786],{"className":1785},[616,1207],[573,1787,1789],{"className":1788},[706],[573,1790,1792],{"className":1791},[711],[573,1793,1795,1803],{"className":1794,"style":1217},[715],[573,1796,1797,1800],{"style":721},[573,1798],{"className":1799,"style":726},[725],[573,1801,670],{"className":1802},[616,617],[573,1804,1805,1808],{"style":721},[573,1806],{"className":1807,"style":726},[725],[573,1809,1811],{"className":1810,"style":1235},[1234],[573,1812,1159],{"className":1813},[616],[573,1815,1817],{"className":1816},[740],[573,1818,1820,1846],{"className":1819},[706,707],[573,1821,1823,1843],{"className":1822},[711],[573,1824,1826],{"className":1825,"style":1251},[715],[573,1827,1828,1831],{"style":753},[573,1829],{"className":1830,"style":757},[725],[573,1832,1834],{"className":1833},[761,762,763,764],[573,1835,1837],{"className":1836},[616,764],[573,1838,1840],{"className":1839},[616,1266,764],[573,1841,1162],{"className":1842},[616,764],[573,1844,772],{"className":1845},[771],[573,1847,1849],{"className":1848},[711],[573,1850,1852],{"className":1851,"style":1279},[715],[573,1853],{},[573,1855],{"className":1856,"style":1285},[785],[573,1858,1165],{"className":1859},[1289],[573,1861],{"className":1862,"style":1285},[785],[573,1864,1866,1869,1971,1974,1977],{"className":1865},[607],[573,1867],{"className":1868,"style":1299},[611],[573,1870,1872,1903],{"className":1871},[616,702],[573,1873,1876],{"className":1874},[1875],"root",[573,1877,1879],{"className":1878},[706],[573,1880,1882],{"className":1881},[711],[573,1883,1886],{"className":1884,"style":1885},[715],"height:0.8455em;",[573,1887,1889,1893],{"style":1888},"top:-3.0233em;",[573,1890],{"className":1891,"style":1892},[725],"height:2.5em;",[573,1894,1897],{"className":1895},[761,762,1896,764],"size1",[573,1898,1900],{"className":1899},[616,764],[573,1901,1755],{"className":1902},[616,764],[573,1904,1906,1963],{"className":1905},[706,707],[573,1907,1909,1960],{"className":1908},[711],[573,1910,1912,1948],{"className":1911,"style":1312},[715],[573,1913,1915,1918],{"className":1914,"style":721},[720],[573,1916],{"className":1917,"style":726},[725],[573,1919,1921,1924,1927,1930,1933,1936,1939,1942,1945],{"className":1920,"style":730},[616],[573,1922,1187],{"className":1923},[616],[573,1925],{"className":1926,"style":786},[785],[573,1928,678],{"className":1929},[790],[573,1931],{"className":1932,"style":786},[785],[573,1934,1637],{"className":1935},[616],[573,1937],{"className":1938,"style":786},[785],[573,1940,678],{"className":1941},[790],[573,1943],{"className":1944,"style":786},[785],[573,1946,1666],{"className":1947},[616],[573,1949,1950,1953],{"style":1339},[573,1951],{"className":1952,"style":726},[725],[573,1954,1956],{"className":1955,"style":844},[843],[846,1957,1958],{"xmlns":848,"width":849,"height":850,"viewBox":851,"preserveAspectRatio":852},[854,1959],{"d":856},[573,1961,772],{"className":1962},[771],[573,1964,1966],{"className":1965},[711],[573,1967,1969],{"className":1968,"style":1359},[715],[573,1970],{},[573,1972],{"className":1973,"style":1285},[785],[573,1975,1165],{"className":1976},[1289],[573,1978],{"className":1979,"style":1285},[785],[573,1981,1983,1986,2059,2062,2065],{"className":1982},[607],[573,1984],{"className":1985,"style":1299},[611],[573,1987,1989,2015],{"className":1988},[616,702],[573,1990,1992],{"className":1991},[1875],[573,1993,1995],{"className":1994},[706],[573,1996,1998],{"className":1997},[711],[573,1999,2001],{"className":2000,"style":1885},[715],[573,2002,2003,2006],{"style":1888},[573,2004],{"className":2005,"style":1892},[725],[573,2007,2009],{"className":2008},[761,762,1896,764],[573,2010,2012],{"className":2011},[616,764],[573,2013,1755],{"className":2014},[616,764],[573,2016,2018,2051],{"className":2017},[706,707],[573,2019,2021,2048],{"className":2020},[711],[573,2022,2024,2036],{"className":2023,"style":1312},[715],[573,2025,2027,2030],{"className":2026,"style":721},[720],[573,2028],{"className":2029,"style":726},[725],[573,2031,2033],{"className":2032,"style":730},[616],[573,2034,1696],{"className":2035},[616],[573,2037,2038,2041],{"style":1339},[573,2039],{"className":2040,"style":726},[725],[573,2042,2044],{"className":2043,"style":844},[843],[846,2045,2046],{"xmlns":848,"width":849,"height":850,"viewBox":851,"preserveAspectRatio":852},[854,2047],{"d":856},[573,2049,772],{"className":2050},[771],[573,2052,2054],{"className":2053},[711],[573,2055,2057],{"className":2056,"style":1359},[715],[573,2058],{},[573,2060],{"className":2061,"style":1285},[785],[573,2063,1165],{"className":2064},[1289],[573,2066],{"className":2067,"style":1285},[785],[573,2069,2071,2074],{"className":2070},[607],[573,2072],{"className":2073,"style":1099},[611],[573,2075,1637],{"className":2076},[616],[564,2078,2079,2080,2118,2119,2159,2160,1103,2197,1132],{},"Eine Aktie verliert im ersten Jahr ",[573,2081,2083,2100],{"className":2082},[576],[573,2084,2086],{"className":2085},[580],[582,2087,2088],{"xmlns":584},[586,2089,2090,2098],{},[589,2091,2092,2094,2096],{},[672,2093,994],{},[904,2095,906],{},[592,2097,910],{"mathvariant":909},[596,2099,1001],{"encoding":598},[573,2101,2103],{"className":2102,"ariaHidden":603},[602],[573,2104,2106,2109,2112,2115],{"className":2105},[607],[573,2107],{"className":2108,"style":923},[611],[573,2110,994],{"className":2111},[616],[573,2113],{"className":2114,"style":930},[785],[573,2116,910],{"className":2117},[616]," und gewinnt im zweiten Jahr ",[573,2120,2122,2141],{"className":2121},[576],[573,2123,2125],{"className":2124},[580],[582,2126,2127],{"xmlns":584},[586,2128,2129,2138],{},[589,2130,2131,2134,2136],{},[672,2132,2133],{},"25",[904,2135,906],{},[592,2137,910],{"mathvariant":909},[596,2139,2140],{"encoding":598},"25\\,\\%",[573,2142,2144],{"className":2143,"ariaHidden":603},[602],[573,2145,2147,2150,2153,2156],{"className":2146},[607],[573,2148],{"className":2149,"style":923},[611],[573,2151,2133],{"className":2152},[616],[573,2154],{"className":2155,"style":930},[785],[573,2157,910],{"className":2158},[616],". Die Faktoren sind ",[573,2161,2163,2176],{"className":2162},[576],[573,2164,2166],{"className":2165},[580],[582,2167,2168],{"xmlns":584},[586,2169,2170,2174],{},[589,2171,2172],{},[672,2173,1034],{},[596,2175,1037],{"encoding":598},[573,2177,2179],{"className":2178,"ariaHidden":603},[602],[573,2180,2182,2185,2188,2194],{"className":2181},[607],[573,2183],{"className":2184,"style":962},[611],[573,2186,1050],{"className":2187},[616],[573,2189,2191],{"className":2190},[616],[573,2192,973],{"className":2193},[972],[573,2195,1060],{"className":2196},[616],[573,2198,2200,2215],{"className":2199},[576],[573,2201,2203],{"className":2202},[580],[582,2204,2205],{"xmlns":584},[586,2206,2207,2212],{},[589,2208,2209],{},[672,2210,2211],{},"1,25",[596,2213,2214],{"encoding":598},"1{,}25",[573,2216,2218],{"className":2217,"ariaHidden":603},[602],[573,2219,2221,2224,2227,2233],{"className":2220},[607],[573,2222],{"className":2223,"style":962},[611],[573,2225,674],{"className":2226},[616],[573,2228,2230],{"className":2229},[616],[573,2231,973],{"className":2232},[972],[573,2234,2133],{"className":2235},[616],[573,2237,2239],{"className":2238},[1136],[573,2240,2242,2286],{"className":2241},[576],[573,2243,2245],{"className":2244},[580],[582,2246,2247],{"xmlns":584,"display":1145},[586,2248,2249,2283],{},[589,2250,2251,2261,2263,2273,2275,2279,2281],{},[666,2252,2253,2259],{},[1153,2254,2255,2257],{"accent":603},[592,2256,670],{},[676,2258,1159],{},[904,2260,1162],{},[676,2262,1165],{},[661,2264,2265],{},[589,2266,2267,2269,2271],{},[672,2268,1034],{},[676,2270,678],{},[672,2272,2211],{},[676,2274,1165],{},[661,2276,2277],{},[672,2278,674],{},[676,2280,1165],{},[672,2282,674],{},[596,2284,2285],{"encoding":598},"\\bar{x}_{\\text{geo}} = \\sqrt{0{,}8 \\cdot 1{,}25} = \\sqrt{1} = 1",[573,2287,2289,2378,2481,2543],{"className":2288,"ariaHidden":603},[602],[573,2290,2292,2295,2369,2372,2375],{"className":2291},[607],[573,2293],{"className":2294,"style":1200},[611],[573,2296,2298,2329],{"className":2297},[616],[573,2299,2301],{"className":2300},[616,1207],[573,2302,2304],{"className":2303},[706],[573,2305,2307],{"className":2306},[711],[573,2308,2310,2318],{"className":2309,"style":1217},[715],[573,2311,2312,2315],{"style":721},[573,2313],{"className":2314,"style":726},[725],[573,2316,670],{"className":2317},[616,617],[573,2319,2320,2323],{"style":721},[573,2321],{"className":2322,"style":726},[725],[573,2324,2326],{"className":2325,"style":1235},[1234],[573,2327,1159],{"className":2328},[616],[573,2330,2332],{"className":2331},[740],[573,2333,2335,2361],{"className":2334},[706,707],[573,2336,2338,2358],{"className":2337},[711],[573,2339,2341],{"className":2340,"style":1251},[715],[573,2342,2343,2346],{"style":753},[573,2344],{"className":2345,"style":757},[725],[573,2347,2349],{"className":2348},[761,762,763,764],[573,2350,2352],{"className":2351},[616,764],[573,2353,2355],{"className":2354},[616,1266,764],[573,2356,1162],{"className":2357},[616,764],[573,2359,772],{"className":2360},[771],[573,2362,2364],{"className":2363},[711],[573,2365,2367],{"className":2366,"style":1279},[715],[573,2368],{},[573,2370],{"className":2371,"style":1285},[785],[573,2373,1165],{"className":2374},[1289],[573,2376],{"className":2377,"style":1285},[785],[573,2379,2381,2385,2472,2475,2478],{"className":2380},[607],[573,2382],{"className":2383,"style":2384},[611],"height:1.24em;vertical-align:-0.2811em;",[573,2386,2388],{"className":2387},[616,702],[573,2389,2391,2463],{"className":2390},[706,707],[573,2392,2394,2460],{"className":2393},[711],[573,2395,2398,2443],{"className":2396,"style":2397},[715],"height:0.9589em;",[573,2399,2402,2406],{"className":2400,"style":2401},[720],"top:-3.2em;",[573,2403],{"className":2404,"style":2405},[725],"height:3.2em;",[573,2407,2410,2413,2419,2422,2425,2428,2431,2434,2440],{"className":2408,"style":2409},[616],"padding-left:1em;",[573,2411,1050],{"className":2412},[616],[573,2414,2416],{"className":2415},[616],[573,2417,973],{"className":2418},[972],[573,2420,1060],{"className":2421},[616],[573,2423],{"className":2424,"style":786},[785],[573,2426,678],{"className":2427},[790],[573,2429],{"className":2430,"style":786},[785],[573,2432,674],{"className":2433},[616],[573,2435,2437],{"className":2436},[616],[573,2438,973],{"className":2439},[972],[573,2441,2133],{"className":2442},[616],[573,2444,2446,2449],{"style":2445},"top:-2.9189em;",[573,2447],{"className":2448,"style":2405},[725],[573,2450,2453],{"className":2451,"style":2452},[843],"min-width:1.02em;height:1.28em;",[846,2454,2457],{"xmlns":848,"width":849,"height":2455,"viewBox":2456,"preserveAspectRatio":852},"1.28em","0 0 400000 1296",[854,2458],{"d":2459},"M263,681c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl0 -0\nc4.7,-7.3,11,-11,19,-11\nH40000v40H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM1001 80h400000v40h-400000z",[573,2461,772],{"className":2462},[771],[573,2464,2466],{"className":2465},[711],[573,2467,2470],{"className":2468,"style":2469},[715],"height:0.2811em;",[573,2471],{},[573,2473],{"className":2474,"style":1285},[785],[573,2476,1165],{"className":2477},[1289],[573,2479],{"className":2480,"style":1285},[785],[573,2482,2484,2487,2534,2537,2540],{"className":2483},[607],[573,2485],{"className":2486,"style":1299},[611],[573,2488,2490],{"className":2489},[616,702],[573,2491,2493,2526],{"className":2492},[706,707],[573,2494,2496,2523],{"className":2495},[711],[573,2497,2499,2511],{"className":2498,"style":1312},[715],[573,2500,2502,2505],{"className":2501,"style":721},[720],[573,2503],{"className":2504,"style":726},[725],[573,2506,2508],{"className":2507,"style":730},[616],[573,2509,674],{"className":2510},[616],[573,2512,2513,2516],{"style":1339},[573,2514],{"className":2515,"style":726},[725],[573,2517,2519],{"className":2518,"style":844},[843],[846,2520,2521],{"xmlns":848,"width":849,"height":850,"viewBox":851,"preserveAspectRatio":852},[854,2522],{"d":856},[573,2524,772],{"className":2525},[771],[573,2527,2529],{"className":2528},[711],[573,2530,2532],{"className":2531,"style":1359},[715],[573,2533],{},[573,2535],{"className":2536,"style":1285},[785],[573,2538,1165],{"className":2539},[1289],[573,2541],{"className":2542,"style":1285},[785],[573,2544,2546,2549],{"className":2545},[607],[573,2547],{"className":2548,"style":1099},[611],[573,2550,674],{"className":2551},[616],[564,2553,2554,2555,2584,2585,2698],{},"Im Mittel hat sich der Wert also gar nicht verändert. Tatsächlich: Aus ",[573,2556,2558,2572],{"className":2557},[576],[573,2559,2561],{"className":2560},[580],[582,2562,2563],{"xmlns":584},[586,2564,2565,2570],{},[589,2566,2567],{},[672,2568,2569],{},"200",[596,2571,2569],{"encoding":598},[573,2573,2575],{"className":2574,"ariaHidden":603},[602],[573,2576,2578,2581],{"className":2577},[607],[573,2579],{"className":2580,"style":1099},[611],[573,2582,2569],{"className":2583},[616]," € werden ",[573,2586,2588,2614],{"className":2587},[576],[573,2589,2591],{"className":2590},[580],[582,2592,2593],{"xmlns":584},[586,2594,2595,2611],{},[589,2596,2597,2599,2601,2603,2605,2607,2609],{},[672,2598,2569],{},[676,2600,678],{},[672,2602,1034],{},[676,2604,678],{},[672,2606,2211],{},[676,2608,1165],{},[672,2610,2569],{},[596,2612,2613],{"encoding":598},"200 \\cdot 0{,}8 \\cdot 1{,}25 = 200",[573,2615,2617,2635,2662,2689],{"className":2616,"ariaHidden":603},[602],[573,2618,2620,2623,2626,2629,2632],{"className":2619},[607],[573,2621],{"className":2622,"style":1099},[611],[573,2624,2569],{"className":2625},[616],[573,2627],{"className":2628,"style":786},[785],[573,2630,678],{"className":2631},[790],[573,2633],{"className":2634,"style":786},[785],[573,2636,2638,2641,2644,2650,2653,2656,2659],{"className":2637},[607],[573,2639],{"className":2640,"style":962},[611],[573,2642,1050],{"className":2643},[616],[573,2645,2647],{"className":2646},[616],[573,2648,973],{"className":2649},[972],[573,2651,1060],{"className":2652},[616],[573,2654],{"className":2655,"style":786},[785],[573,2657,678],{"className":2658},[790],[573,2660],{"className":2661,"style":786},[785],[573,2663,2665,2668,2671,2677,2680,2683,2686],{"className":2664},[607],[573,2666],{"className":2667,"style":962},[611],[573,2669,674],{"className":2670},[616],[573,2672,2674],{"className":2673},[616],[573,2675,973],{"className":2676},[972],[573,2678,2133],{"className":2679},[616],[573,2681],{"className":2682,"style":1285},[785],[573,2684,1165],{"className":2685},[1289],[573,2687],{"className":2688,"style":1285},[785],[573,2690,2692,2695],{"className":2691},[607],[573,2693],{"className":2694,"style":1099},[611],[573,2696,2569],{"className":2697},[616]," €.",[559,2700,2702],{"id":2701},"typische-fehler","Typische Fehler",[882,2704,2705,3092,3268],{},[885,2706,2707,2708,2856,2857,2906,2907,2935,2936,3063,3064,2698],{},"Prozentsätze arithmetisch mitteln. Im Aktienbeispiel ergäbe ",[573,2709,2711,2743],{"className":2710},[576],[573,2712,2714],{"className":2713},[580],[582,2715,2716],{"xmlns":584},[586,2717,2718,2740],{},[589,2719,2720,2735,2737],{},[1458,2721,2722,2733],{},[589,2723,2724,2727,2729,2731],{},[676,2725,2726],{},"−",[672,2728,994],{},[676,2730,1466],{},[672,2732,2133],{},[672,2734,685],{},[676,2736,1165],{},[672,2738,2739],{},"2,5",[596,2741,2742],{"encoding":598},"\\frac{-20 + 25}{2} = 2{,}5",[573,2744,2746,2838],{"className":2745,"ariaHidden":603},[602],[573,2747,2749,2752,2829,2832,2835],{"className":2748},[607],[573,2750],{"className":2751,"style":1488},[611],[573,2753,2755,2758,2826],{"className":2754},[616],[573,2756],{"className":2757},[1495,1496],[573,2759,2761],{"className":2760},[1458],[573,2762,2764,2818],{"className":2763},[706,707],[573,2765,2767,2815],{"className":2766},[711],[573,2768,2770,2784,2792],{"className":2769,"style":1509},[715],[573,2771,2772,2775],{"style":1512},[573,2773],{"className":2774,"style":726},[725],[573,2776,2778],{"className":2777},[761,762,763,764],[573,2779,2781],{"className":2780},[616,764],[573,2782,685],{"className":2783},[616,764],[573,2785,2786,2789],{"style":1527},[573,2787],{"className":2788,"style":726},[725],[573,2790],{"className":2791,"style":1535},[1534],[573,2793,2794,2797],{"style":1538},[573,2795],{"className":2796,"style":726},[725],[573,2798,2800],{"className":2799},[761,762,763,764],[573,2801,2803,2806,2809,2812],{"className":2802},[616,764],[573,2804,2726],{"className":2805},[616,764],[573,2807,994],{"className":2808},[616,764],[573,2810,1466],{"className":2811},[790,764],[573,2813,2133],{"className":2814},[616,764],[573,2816,772],{"className":2817},[771],[573,2819,2821],{"className":2820},[711],[573,2822,2824],{"className":2823,"style":1566},[715],[573,2825],{},[573,2827],{"className":2828},[1572,1496],[573,2830],{"className":2831,"style":1285},[785],[573,2833,1165],{"className":2834},[1289],[573,2836],{"className":2837,"style":1285},[785],[573,2839,2841,2844,2847,2853],{"className":2840},[607],[573,2842],{"className":2843,"style":962},[611],[573,2845,685],{"className":2846},[616],[573,2848,2850],{"className":2849},[616],[573,2851,973],{"className":2852},[972],[573,2854,1475],{"className":2855},[616]," ein Plus von ",[573,2858,2860,2878],{"className":2859},[576],[573,2861,2863],{"className":2862},[580],[582,2864,2865],{"xmlns":584},[586,2866,2867,2875],{},[589,2868,2869,2871,2873],{},[672,2870,2739],{},[904,2872,906],{},[592,2874,910],{"mathvariant":909},[596,2876,2877],{"encoding":598},"2{,}5\\,\\%",[573,2879,2881],{"className":2880,"ariaHidden":603},[602],[573,2882,2884,2888,2891,2897,2900,2903],{"className":2883},[607],[573,2885],{"className":2886,"style":2887},[611],"height:0.9444em;vertical-align:-0.1944em;",[573,2889,685],{"className":2890},[616],[573,2892,2894],{"className":2893},[616],[573,2895,973],{"className":2896},[972],[573,2898,1475],{"className":2899},[616],[573,2901],{"className":2902,"style":930},[785],[573,2904,910],{"className":2905},[616]," pro Jahr. Damit würden aus ",[573,2908,2910,2923],{"className":2909},[576],[573,2911,2913],{"className":2912},[580],[582,2914,2915],{"xmlns":584},[586,2916,2917,2921],{},[589,2918,2919],{},[672,2920,2569],{},[596,2922,2569],{"encoding":598},[573,2924,2926],{"className":2925,"ariaHidden":603},[602],[573,2927,2929,2932],{"className":2928},[607],[573,2930],{"className":2931,"style":1099},[611],[573,2933,2569],{"className":2934},[616]," € aber ",[573,2937,2939,2967],{"className":2938},[576],[573,2940,2942],{"className":2941},[580],[582,2943,2944],{"xmlns":584},[586,2945,2946,2964],{},[589,2947,2948,2950,2952,2955,2957,2959,2961],{},[672,2949,2569],{},[676,2951,678],{},[672,2953,2954],{},"1,025",[676,2956,678],{},[672,2958,2954],{},[676,2960,1165],{},[672,2962,2963],{},"210,125",[596,2965,2966],{"encoding":598},"200 \\cdot 1{,}025 \\cdot 1{,}025 = 210{,}125",[573,2968,2970,2988,3016,3043],{"className":2969,"ariaHidden":603},[602],[573,2971,2973,2976,2979,2982,2985],{"className":2972},[607],[573,2974],{"className":2975,"style":1099},[611],[573,2977,2569],{"className":2978},[616],[573,2980],{"className":2981,"style":786},[785],[573,2983,678],{"className":2984},[790],[573,2986],{"className":2987,"style":786},[785],[573,2989,2991,2994,2997,3003,3007,3010,3013],{"className":2990},[607],[573,2992],{"className":2993,"style":962},[611],[573,2995,674],{"className":2996},[616],[573,2998,3000],{"className":2999},[616],[573,3001,973],{"className":3002},[972],[573,3004,3006],{"className":3005},[616],"025",[573,3008],{"className":3009,"style":786},[785],[573,3011,678],{"className":3012},[790],[573,3014],{"className":3015,"style":786},[785],[573,3017,3019,3022,3025,3031,3034,3037,3040],{"className":3018},[607],[573,3020],{"className":3021,"style":962},[611],[573,3023,674],{"className":3024},[616],[573,3026,3028],{"className":3027},[616],[573,3029,973],{"className":3030},[972],[573,3032,3006],{"className":3033},[616],[573,3035],{"className":3036,"style":1285},[785],[573,3038,1165],{"className":3039},[1289],[573,3041],{"className":3042,"style":1285},[785],[573,3044,3046,3049,3053,3059],{"className":3045},[607],[573,3047],{"className":3048,"style":962},[611],[573,3050,3052],{"className":3051},[616],"210",[573,3054,3056],{"className":3055},[616],[573,3057,973],{"className":3058},[972],[573,3060,3062],{"className":3061},[616],"125"," €, nicht ",[573,3065,3067,3080],{"className":3066},[576],[573,3068,3070],{"className":3069},[580],[582,3071,3072],{"xmlns":584},[586,3073,3074,3078],{},[589,3075,3076],{},[672,3077,2569],{},[596,3079,2569],{"encoding":598},[573,3081,3083],{"className":3082,"ariaHidden":603},[602],[573,3084,3086,3089],{"className":3085},[607],[573,3087],{"className":3088,"style":1099},[611],[573,3090,2569],{"className":3091},[616],[885,3093,3094,3095,3192,3193,1103,3230,3267],{},"Die Prozentsätze statt der Faktoren einsetzen, also ",[573,3096,3098,3120],{"className":3097},[576],[573,3099,3101],{"className":3100},[580],[582,3102,3103],{"xmlns":584},[586,3104,3105,3117],{},[589,3106,3107],{},[661,3108,3109],{},[589,3110,3111,3113,3115],{},[672,3112,994],{},[676,3114,678],{},[672,3116,2133],{},[596,3118,3119],{"encoding":598},"\\sqrt{20 \\cdot 25}",[573,3121,3123],{"className":3122,"ariaHidden":603},[602],[573,3124,3126,3130],{"className":3125},[607],[573,3127],{"className":3128,"style":3129},[611],"height:1.04em;vertical-align:-0.1328em;",[573,3131,3133],{"className":3132},[616,702],[573,3134,3136,3183],{"className":3135},[706,707],[573,3137,3139,3180],{"className":3138},[711],[573,3140,3143,3167],{"className":3141,"style":3142},[715],"height:0.9072em;",[573,3144,3146,3149],{"className":3145,"style":721},[720],[573,3147],{"className":3148,"style":726},[725],[573,3150,3152,3155,3158,3161,3164],{"className":3151,"style":730},[616],[573,3153,994],{"className":3154},[616],[573,3156],{"className":3157,"style":786},[785],[573,3159,678],{"className":3160},[790],[573,3162],{"className":3163,"style":786},[785],[573,3165,2133],{"className":3166},[616],[573,3168,3170,3173],{"style":3169},"top:-2.8672em;",[573,3171],{"className":3172,"style":726},[725],[573,3174,3176],{"className":3175,"style":844},[843],[846,3177,3178],{"xmlns":848,"width":849,"height":850,"viewBox":851,"preserveAspectRatio":852},[854,3179],{"d":856},[573,3181,772],{"className":3182},[771],[573,3184,3186],{"className":3185},[711],[573,3187,3190],{"className":3188,"style":3189},[715],"height:0.1328em;",[573,3191],{}," rechnen. Es müssen die Faktoren ",[573,3194,3196,3209],{"className":3195},[576],[573,3197,3199],{"className":3198},[580],[582,3200,3201],{"xmlns":584},[586,3202,3203,3207],{},[589,3204,3205],{},[672,3206,1034],{},[596,3208,1037],{"encoding":598},[573,3210,3212],{"className":3211,"ariaHidden":603},[602],[573,3213,3215,3218,3221,3227],{"className":3214},[607],[573,3216],{"className":3217,"style":962},[611],[573,3219,1050],{"className":3220},[616],[573,3222,3224],{"className":3223},[616],[573,3225,973],{"className":3226},[972],[573,3228,1060],{"className":3229},[616],[573,3231,3233,3246],{"className":3232},[576],[573,3234,3236],{"className":3235},[580],[582,3237,3238],{"xmlns":584},[586,3239,3240,3244],{},[589,3241,3242],{},[672,3243,2211],{},[596,3245,2214],{"encoding":598},[573,3247,3249],{"className":3248,"ariaHidden":603},[602],[573,3250,3252,3255,3258,3264],{"className":3251},[607],[573,3253],{"className":3254,"style":962},[611],[573,3256,674],{"className":3257},[616],[573,3259,3261],{"className":3260},[616],[573,3262,973],{"className":3263},[972],[573,3265,2133],{"className":3266},[616]," sein.",[885,3269,3270,3271,3299],{},"Bei drei oder mehr Werten die Quadratwurzel ziehen. Der Wurzelexponent ist immer die Anzahl ",[573,3272,3274,3287],{"className":3273},[576],[573,3275,3277],{"className":3276},[580],[582,3278,3279],{"xmlns":584},[586,3280,3281,3285],{},[589,3282,3283],{},[592,3284,594],{},[596,3286,594],{"encoding":598},[573,3288,3290],{"className":3289,"ariaHidden":603},[602],[573,3291,3293,3296],{"className":3292},[607],[573,3294],{"className":3295,"style":612},[611],[573,3297,594],{"className":3298},[616,617]," der Werte, bei drei Werten also die dritte Wurzel.",{"title":3301,"searchDepth":3302,"depth":3302,"links":3303},"",2,[3304,3305,3306],{"id":561,"depth":3302,"text":562},{"id":1069,"depth":3302,"text":1070},{"id":2701,"depth":3302,"text":2702},[3308,3311,3313,3315,3317,3319,3322,3324,3327],{"lhs":3309,"rhs":3310},"nthRoot(a*b*c, 3)^3","a*b*c",{"lhs":3312,"rhs":1187},"sqrt(2 * 8)",{"lhs":3314,"rhs":1637},"nthRoot(4 * 6 * 9, 3)",{"lhs":3316,"rhs":1696},"4 * 6 * 9",{"lhs":3318,"rhs":674},"sqrt(0.8 * 1.25)",{"lhs":3320,"rhs":3321},"(-20 + 25) \u002F 2","2.5",{"lhs":3323,"rhs":2569},"200 * 0.8 * 1.25",{"lhs":3325,"rhs":3326},"200 * 1.025 * 1.025","210.125",{"lhs":3328,"rhs":1475},"(2 + 8) \u002F 2","x_1, \\ldots, x_n > 0,\\ n \\geq 1","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmo>…\u003C\u002Fmo>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>>\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x_1, \\ldots, x_n > 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:0.7335em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\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=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">…\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\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:0.8389em;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>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>≥\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n \\geq 1\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\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","geometric-mean","\\bar{x}_{\\text{geo}} = \\sqrt[n]{x_1 \\cdot x_2 \\cdot \\ldots \\cdot x_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>\u003Cmover accent=\"true\">\u003Cmi>x\u003C\u002Fmi>\u003Cmo>ˉ\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmtext>geo\u003C\u002Fmtext>\u003C\u002Fmsub>\u003Cmo>=\u003C\u002Fmo>\u003Cmroot>\u003Cmrow>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmo>…\u003C\u002Fmo>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmroot>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\bar{x}_{\\text{geo}} = \\sqrt[n]{x_1 \\cdot x_2 \\cdot \\ldots \\cdot x_n}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" 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