题目内容
已知等比数列{an}的前n项和为Sn,且S1,2S2,3S3成等差数列,则{an}的公比为________.
![]()
[解析] 设等比数列{an}的公比为q,则由S1,2S2,3S3成等差数列,得4S2=S1+3S3,∴4(a1+a1q)=a1+3a1+3a1q+3a1q2,解之,得q=
(q=0舍去).
练习册系列答案
相关题目
题目内容
已知等比数列{an}的前n项和为Sn,且S1,2S2,3S3成等差数列,则{an}的公比为________.
![]()
[解析] 设等比数列{an}的公比为q,则由S1,2S2,3S3成等差数列,得4S2=S1+3S3,∴4(a1+a1q)=a1+3a1+3a1q+3a1q2,解之,得q=
(q=0舍去).