1/6+1/12+1/30+1/42+1/56= 要简便算法,

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1/6+1/12+1/30+1/42+1/56=要简便算法,1/6+1/12+1/30+1/42+1/56=要简便算法,1/6+1/12+1/30+1/42+1/56=要简便算法,原式=1/2-1/3

1/6+1/12+1/30+1/42+1/56= 要简便算法,
1/6+1/12+1/30+1/42+1/56= 要简便算法,

1/6+1/12+1/30+1/42+1/56= 要简便算法,
原式=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8
=1/2-1/8
=3/8

1/6+1/12+1/30+1/42+1/56=
1/2-1/3+1/3-1/4+1/5-1/6+1/6-1/7+1/7-1/8
=1/2-1/4+1/5-1/8
=13/40

1/6+1/12+1/30+1/42+1/56
=1/6*1+1/6*1/2+1/6*1/5+1/6*1/7+1/6*1/8
=1/6*(1+1/2+1/5+1/7+1/8)
=1/6*551/280
=551/1680