问题
选择题
已知等比数列{an}的前n项和为Sn,a1=1,且满足Sn,Sn+2,Sn+1成等差数列,则a3等于( )
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答案
∵Sn、Sn+2、Sn+1成等差数列,
∴Sn+2-Sn=Sn+1-Sn+2.
∴an+2+an+1=-an+2,
∴
=-an+2 an+1 1 2
又a1=1,
∴a3=
.1 4
故选C
已知等比数列{an}的前n项和为Sn,a1=1,且满足Sn,Sn+2,Sn+1成等差数列,则a3等于( )
|
∵Sn、Sn+2、Sn+1成等差数列,
∴Sn+2-Sn=Sn+1-Sn+2.
∴an+2+an+1=-an+2,
∴
=-an+2 an+1 1 2
又a1=1,
∴a3=
.1 4
故选C