1/2+1/6+1/12+1/20+1/30+1/42+1/56=?(要算式)

问题描述:

1/2+1/6+1/12+1/20+1/30+1/42+1/56=?(要算式)
1个回答 分类:数学 2014-11-19

问题解答:

我来补答
1/2+1/6+1/12+1/20+1/30+1/42+1/56
=1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8
=1-1/8
=7/8
 
 
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