1/12+1/23+1/34+1/45+.+1/24*25

来源：学生作业帮助网编辑：六六作业网时间：2024/12/19 01:26:45

1/1*2+1/2*3+1/3*4+1/4*5+.+1/24*251/1*2+1/2*3+1/3*4+1/4*5+.+1/24*251/1*2+1/2*3+1/3*4+1/4*5+.+1/24*25=

1/1*2+1/2*3+1/3*4+1/4*5+.+1/24*25
1/1*2+1/2*3+1/3*4+1/4*5+.+1/24*25

1/1*2+1/2*3+1/3*4+1/4*5+.+1/24*25
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+……+(1/24-1/25)
=1-1/25
=24/25