1+1/2+1/6+1/12+1/20+1/30+1/42+1/56+............1/132=

来源：百度知道编辑：UC知道时间：2024/06/08 05:23:30

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http://zhidao.baidu.com/question/31553340.html?si=1
1+1/2+1/6+1/12+......+1/132
=1+(1-1/2)+(1/2-1/3)+(1/3-1/4)+......+(1/11-1/12)
=1+1-1/2+1/2-1/3+1/3-1/4+......+1/11-1/12
=2-1/12
=1又11/12

1/2=1-1/2
1/6=1/2-1/3
1/12=1/3-1/4
…………
1/90=1/9-1/10
1/100 ？？？？
1/110=1/10-1/11
1/132=1/11-1/12

1/2+1/6+1/12+…………+1/90+1/100+1/132 =
1-1/2+1/2-1/3+1/3-1/4+……+1/9-1/10+1/10-1/11+1/11-1/12=11/12

所以答案等于11/12+1=23/12

什么意思啊

(1/2) (1/4+1/6)= 1/2+1/6+1/12+1/20+1/30 1/2+1/4+1/6+1/8+.......+1/n=? -1/2-1/6-1/12-1/20-``````````````-1/4026042 1/2+1/6+1/12+......+1/1980+1/2070=? (1/2-1)*(1/3-1)*(1/4-1)*(1/5-1)*(1/6-1)*(1/7-1)*(1/8-1)*(1/9-1)*(1/10-1) 1/2 ，1/3 ,1/6 /1/6 ,() (1-1/2)*(1-1/4)*(1-1/6)*...........*(1-1/10)解法 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90= 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90=?