(1/2-1)+(1/3-1/2)+(1/4-1/3)+.+(1/2014-1/2013)的值_数学解答

(1/2-1)+(1/3-1/2)+(1/4-1/3)+.+(1/2014-1/2013)的值

人气：156 ℃　时间：2019-09-17 22:03:03

解答

|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
打字不易,