计算1/(1×3)+1/(3×5)+1/(5×7)+1/(7×9)+.+1/(19×21)

问题描述:

计算1/(1×3)+1/(3×5)+1/(5×7)+1/(7×9)+.+1/(19×21)
1个回答 分类:数学 2014-12-02

问题解答:

我来补答
原式=1/2(1/1-1/3+1/3-1/5+1/5-1/7+.+1/19-1/21)
=1/2*20/21
=20/42
=10/21
 
 
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