
5个回答
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2分之一+6分之1+12分之1+20分之1+30分之1+42分之1+56分之1
=[(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
=[(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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你好,书情雅致为你解答:
1/2+1/6+1/12+1/20+1/30+1/42+1/56
=3/6+1/6+1/12+1/20+1/30+1/42+1/56
=2/3+1/12+1/20+1/30+1/42+1/56
=8/12+1/12+1/20+1/30+1/42+1/56
=3/4+1/20+1/30+1/42+1/56
=15/20+1/20+1/30+1/42+1/56
=4/5+1/30+1/42+1/56
=5/6+1/42+1/56
=6/7+1/56
=48/56+1/56
=7/8
1/2+1/6+1/12+1/20+1/30+1/42+1/56
=3/6+1/6+1/12+1/20+1/30+1/42+1/56
=2/3+1/12+1/20+1/30+1/42+1/56
=8/12+1/12+1/20+1/30+1/42+1/56
=3/4+1/20+1/30+1/42+1/56
=15/20+1/20+1/30+1/42+1/56
=4/5+1/30+1/42+1/56
=5/6+1/42+1/56
=6/7+1/56
=48/56+1/56
=7/8
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1/2+1/6+1/12+1/20+1/30+1/42+1/56
=(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-(1/2-1/2)-(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
所以,你算错了。
=(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-(1/2-1/2)-(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
所以,你算错了。
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原式=1/2+1/6+1/12+1/20+1/30+1/42+1/56
应该不是55/56
应该不是55/56
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2013-07-15 · 知道合伙人教育行家
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