问题标题:
设数列{an}的前n项和为Sn,若a1=1,an+1=3Sn(n∈N*),则S6=()A.44B.45C.13•(46−1)D.13•(45−1)
问题描述:
设数列{an}的前n项和为Sn,若a1=1,an+1=3Sn(n∈N*),则S6=()
A.44
B.45
C.
D.
刘学慧回答:
由an+1=3Sn,得an=3Sn-1(n≥2),
两式相减,得an+1-an=3an,即an+1=4an(n≥2),
又a1=1,a2=3S1=3,a
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