题文
等比数列{an}的前n项和为Sn(n∈N*),![等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D. 等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D.](https://www.mshxw.com/file/tupian/20210919/23e9502e04600ff2daad6bd0adb040b2.png)
,则
![等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D. 等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D.](https://www.mshxw.com/file/tupian/20210919/8614b07c93c48b528a6d56ba99f85f08.png)
= [ ]A.
![等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D. 等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D.](https://www.mshxw.com/file/tupian/20210919/3a575422e56a46967b6ba7a2a0bafcd9.png)
B.
![等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D. 等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D.](https://www.mshxw.com/file/tupian/20210919/16f9e2bbf66bff2c3255d795c5bb5718.png)
C.
![等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D. 等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D.](https://www.mshxw.com/file/tupian/20210919/8dd0fe74f196f0679bce1a5f420541e9.png)
D.
![等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D. 等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D.](https://www.mshxw.com/file/tupian/20210919/c12651c701eceb1ddc9dc490756b5d57.png)
题型:未知 难度:其他题型
答案
B解析
该题暂无解析
考点
据考高分专家说,试题“等比数列{an}的前n项和为.....”主要考查你对 [等比数列的前n项和 ]考点的理解。 等比数列的前n项和等比数列的前n项和公式:
等比数列中设元技巧:
已知a1,q,n,an ,Sn中的三个量,求其它两个量,是归结为解方程组问题,知三求二。
注意设元的技巧,如奇数个成等比数列,可设为:…![等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D. 等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D.](https://www.mshxw.com/file/tupian/20210919/20120829164021819981.png)
,…(公比为q),但偶数个数成等比数列时,不能设为…![等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D. 等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D.](https://www.mshxw.com/file/tupian/20210919/20120829164021838904.png)
,…因公比不一定为一个正数,公比为正时可如此设。
等比数列前n项和公式的变形:
q≠1时,![等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D. 等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D.](https://www.mshxw.com/file/tupian/20210919/201208291640218571261.png)
(a≠0,b≠0,a+b=0);
等比数列前n项和常见结论:
一个等比数列有3n项,若前n项之和为S1,中间n项之和为S2,最后n项之和为S3,当q≠-1时,S1,S2,S3为等比数列。


![等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D. 等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D.](http://www.mshxw.com/aiimages/25/196797.png)
![等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D. 等比数列{an}的前n项和为Sn,,则=[ ]A.B.C.D.](https://www.mshxw.com/file/tupian/20210919/20111223090918001.gif)
