求数列{2n+1/2^n}的前n项和
人气:275 ℃ 时间:2020-07-07 20:43:03
解答
分组求和即可,
S=2×(1+2+3+4+……+n)+(1/2+1/4+1/8+1/2^n)
=n×(n+1)+2×1/2×(1-1/2^n)
=n^2+n+1-1/2^n
=n^2+n-1/2^n+1
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