计算(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+……+(1/99-1/100)等于多少_数学解答

计算(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+……+(1/99-1/100)等于多少

人气：279 ℃　时间：2019-12-08 00:46:25

解答

(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+……+(1/99-1/100)
=1/2-1/3+1/3-1/4+...+1/99-1/100
=1/2-1/100
=49/100