1/30+1/42+1/56+1/72+1/90+1/110简便算法(过程)

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1/30+1/42+1/56+1/72+1/90+1/110简便算法(过程)1/30+1/42+1/56+1/72+1/90+1/110简便算法(过程)1/30+1/42+1/56+1/72+1/90

1/30+1/42+1/56+1/72+1/90+1/110简便算法(过程)
1/30+1/42+1/56+1/72+1/90+1/110简便算法(过程)

1/30+1/42+1/56+1/72+1/90+1/110简便算法(过程)
1/30+1/42+1/56+1/72+1/90+1/110
=(1/5-1/6)+(1/6-1/7)+(1/7-1/8)+(1/8-1/9)+(1/9-1/10)+(1/10-1/11)
=1/5-1/11
=6/55

1-1/6 1/42 1/56 1/72 1/90 1/110 =1-1/6 1/6*7 1/7*8 1/8*9 1/9*10 1/10*11 =1-1/6 1/6-1/7 1/7-1/8 1/8-1/9