Question

|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/2014-1/2013|.

求祝各位高手们！~~~~(>_<)~~~~

Answer 1

|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/2014-1/2013|
=（1/2-1/3）+（1/3-1/4）+1/4-...................-1/2013+（1/2013-1/2014）
=1/2-1/2014
=1007/2014-1/2014
=503/1007

追问

谢谢O(∩_∩)O！

追答

记得答案是 503/1007 哈。

追问

对不起，刚刚不小心把ly7404619设成满意答案了，呜呜！

追答

呵呵，没关系哈。不差一题。

追问

(*^__^*)

追答

^__^

Answer 2

|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/2014-1/2013|.
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/2013-1/2014
=1/2-1/2014
=553/1007

追问

谢谢！O(∩_∩)O！

Answer 3

答案等于1007分之503

追问

O(∩_∩)O谢谢！