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(1/2)已知数列{an}是首项为a1=1/4,公比q=1/4的等比数列,设bn+2=3log1/4an(n 20
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(1)an=(1/4)^n
bn=3n-2是等差数列
(2)cn=(1/4)^n(3n-2)
Sn=1/4x1+(1/4)^2x4+……+(1/4)^nx(3n-2)
1/4Sn=(1/4)^2x1+……+(1/4)^(n+1)x(3n-2)
3/4Sn=1/2-(3n+2)/[4^(n+1)]
Sn=[2-(3n+2)/4^n]/3
bn=3n-2是等差数列
(2)cn=(1/4)^n(3n-2)
Sn=1/4x1+(1/4)^2x4+……+(1/4)^nx(3n-2)
1/4Sn=(1/4)^2x1+……+(1/4)^(n+1)x(3n-2)
3/4Sn=1/2-(3n+2)/[4^(n+1)]
Sn=[2-(3n+2)/4^n]/3
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