1/3*7+1/7*11+1/11*15+...+1/25*39

问题描述:

1/3*7+1/7*11+1/11*15+...+1/25*39
1个回答 分类:数学 2014-10-10

问题解答:

我来补答
1/3*7+1/7*11+1/11*15+...+1/25*39
=1/4*(1/3-1/7)+1/4*(1/7-1/11)+1/4*(1/11-1/15)+...+1/4*(1/25-1/29)
=1/4*(1/3-1/7+1/7-1/11+1/11-1/15+...+1/25-1/29)
=1/4*(1/3-1/29)
=1/4*26/87
=13/174
 
 
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