1/2+1/6+1/12+1/20......1/110怎样计算？

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第1个回答 2010-05-10

1/2+1/6+1/12+1/20......1/110
＝1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+......+(1/10-1/11)
=1/2+1/2-1/11
=1-1/11
=10/11

第2个回答推荐于2020-12-22

1/2+1/6+1/12+1/20......1/110
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+...+1/10-1/11
=1-1/11
=10/11

第3个回答 2010-05-10

1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+......+(1/10-1/11)
=1/2+1/2-1/11
=1-1/11
=10/11本回答被提问者采纳

第4个回答 2010-05-10

1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+......+(1/10-1/11)
=1/2+1/2-1/11
=1-1/11
=10/11

第5个回答 2010-05-10

2=1*2

6=2*3

20=4*5

=1-1/2+1/2-1/3+1/3-1/4......+1/10-1/11
=1-1/11
=10/11

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