1/1*2+1/2*3+1/3*4+1/4*5.1/99*100=
来源：学生作业帮助网 编辑：六六作业网 时间：2024/12/23 13:25:44
1/1*2+1/2*3+1/3*4+1/4*5.1/99*100=1/1*2+1/2*3+1/3*4+1/4*5.1/99*100=1/1*2+1/2*3+1/3*4+1/4*5.1/99*100=1
1/1*2+1/2*3+1/3*4+1/4*5.1/99*100=
1/1*2+1/2*3+1/3*4+1/4*5.1/99*100=
1/1*2+1/2*3+1/3*4+1/4*5.1/99*100=
1/1*2+1/2*3+1/3*4+.+1/98*99+1/99*100
=1-1/2+1/2-1/3+1/3-1/4+...+1/98-1/99+1/99-1/100
=1-1/100
=99/100