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[数列] 数列求和

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lrh2006 Posted 2014-10-11 22:57 |Read mode
1+3+6+10+15+21+……+n(n+1)/2=?

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kuing Posted 2014-10-11 23:05
不会吧……很基础的题啊,分别对 n^2/2 和 n/2 求和,这至少会,有技巧点的还可以裂项
\[\frac{n(n+1)}2=\frac{n (n + 1) (n + 2) - (n - 1) n (n + 1)}6\]

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 Author| lrh2006 Posted 2014-10-11 23:32
噢,想起来了,分组求和,刚才傻了,谢谢kuing神

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