计算:|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+|1/6-1/5|+……+|1/2008-1/2007|

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计算:|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+|1/6-1/5|+……+|1/2008-1/2007|计算:|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+|1/6-1

计算:|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+|1/6-1/5|+……+|1/2008-1/2007|
计算:|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+|1/6-1/5|+……+|1/2008-1/2007|

计算:|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+|1/6-1/5|+……+|1/2008-1/2007|
1/3

结果=1003/2008

|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+|1/6-1/5|+……+|1/2008-1/2007| =
(1/2)-(1/3)+(1/3)-(1/4)+.....................+(1/2007)-(1/2008)=
(1/2)-(1/2008)=1003/2008

这个很好算的
因为1/3小于2/1,1/4小于3/1
后面的以此类推
就等于
1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6……+1/2007-1/2008
中间的约掉
就剩下1/2-1/2008=1003/2008