1/(1*4)+1/(4*7)+1/(7*10)+……+1/[(3n-2)(3n+1)]求和

问题描述:

1/(1*4)+1/(4*7)+1/(7*10)+……+1/[(3n-2)(3n+1)]求和
1个回答 分类:数学 2014-11-07

问题解答:

我来补答
1/(1*4)+1/(4*7)+1/(7*10)+……+1/[(3n-2)(3n+1)]
=3(1-1/4+1/4-1/7+...+1/(3n-2)-1/(3n+1))
=3*(1-1/(3n+1))
=9n/3n+1
 
 
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