巧算:1/1×2+1/2×3+1/3×4+.+1/19×20+1/20×21

问题描述:

巧算:1/1×2+1/2×3+1/3×4+.+1/19×20+1/20×21
1个回答 分类:数学 2014-10-28

问题解答:

我来补答
1/1×2+1/2×3+1/3×4+.+1/19×20+1/20×21
=1-1/2+1/2-1/3+1/3-1/4+……+1/20-1/21
=1-1/21
=20/21
 
 
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