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数学
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若数列bn=2n除以2的n次方 求前n项和Sn
人气:170 ℃ 时间:2019-11-24 00:26:39
解答
bn=2n/2^nSn=b1+b2+b3+.+b(n-1)+bn=2·1/2+2x2·1/2²+2x3·1/2³+.+2n·1/2^n .①1/2·Sn= 2·1/2²+2x2·1/2³+.+2(n-1)·1/2^n +2n·1/2^(n+1).②①-②得:1/2·Sn=2(1/2+1/2²+1/2³+.+...
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