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数列1又1/3,2又1/9,3又1/27,4又1/81,…的前n项和是
人气:133 ℃ 时间:2020-01-15 21:52:00
解答
=1+1/3+2+1/9……+n+1/3^n
=1+2……+n+1/3+1/9……+1/3^n
=n(n+1)/2+(1/3){1-(1/3)^n}/{1-(1/3)}
=n(n+1)/2+(1/2){1-(1/3)^n}
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