錯位相減法:Sn=1*3^1+3*3^2+……+(2n-1)*3^n
3Sn=1*3^2+……+(2n-3)*3^n+(2n-1)*3^(n+1)
兩式相減-2Sn=1*3^1+2(3^2+……+3^n)-(2n-1)*3^(n+1)
Sn=3+(n-1)*3^(n+1)
已知an=(2n-1)*3^n,求數(shù)列{an}的前n項和Sn
已知an=(2n-1)*3^n,求數(shù)列{an}的前n項和Sn
數(shù)學人氣:255 ℃時間:2020-06-15 18:12:59
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