计算:1/1×4+1/4×7+1/7×10+1/10×13+1/13×16+1/16×19+1/19×22=?

问题描述:

计算:1/1×4+1/4×7+1/7×10+1/10×13+1/13×16+1/16×19+1/19×22=?
1个回答 分类:数学 2014-10-07

问题解答:

我来补答
1/1×4+1/4×7+1/7×10+1/10×13+1/13×16+1/16×19+1/19×22
=1/3(1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+1/13-1/16+1/16-1/19+1/19-1/22)
=1/3(1-1/22)
=1/3 *(21/22)
=7/22
 
 
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