求Sn=2又(1/2)+4又(1/4)+6又(1/8)+8又(1/16)+……+(2n+1/2^n)=
人气:405 ℃ 时间:2020-06-21 02:40:43
解答
Sn=(2+4+……+2n)+(1/2+1/4+……+1/2^n)
=2n(n+1)/2+1/2*[1-(1/2)^n]/(1-1/2)
=n²+n+1-1/2^n
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