求等比数列的求和公式-天气预报

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求等比数列的求和公式

更新时间： 2021-02-03 15:57:43

1、q≠1时 Sn=a1(1-q^n)/(1-q)=(a1-anq)/(1-q)

q=1时Sn=na1

(a1为首项,an为第n项,d为公差,q 为等比)

2、公式中a1为首项，an为数列第n项，q为等比数列公比，Sn为前n项和。

3、这个常数叫做等比数列的公比，公比通常用字母q表示(q≠0)，等比数列a1≠ 0。注：q=1 时，{an}为常数列。利用等比数列求和公式可以快速的计算出该数列的和。

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