会的请速速回答!求和:|1/2-1|+|1/3-1/2|+…+|1/99-1/98|+|1/100-1/99|
问题描述：
会的请速速回答!
求和:|1/2-1|+|1/3-1/2|+…+|1/99-1/98|+|1/100-1/99|
答
去掉绝对值
1-1/2+1/2-1/3+……+1/99-1/100=1-1/100
=99/100
答
...99/100
答
=> 1-1/2 + 1/2 -1/3 +....+1/98-1/99 +1/99-1/100
=> 1- 1/100
=> 99/100
答
99/100
答
|1/2-1|+|1/3-1/2|+…+|1/99-1/98|+|1/100-1/99|
=(1-1/2)+(1/2-1/3)+...+(1/98-1/99)+(1/99-1/100)
=1-1/100
=99/100
|a-b|=|b-a|