1+1/2+1/6+1/12+1/20+…+1/99*100=?

来源：学生作业帮助网编辑：六六作业网时间：2024/10/04 14:09:48

1+1/2+1/6+1/12+1/20+…+1/99*100=?1+1/2+1/6+1/12+1/20+…+1/99*100=?1+1/2+1/6+1/12+1/20+…+1/99*100=?1+1/

1+1/2+1/6+1/12+1/20+…+1/99*100=?
1+1/2+1/6+1/12+1/20+…+1/99*100=?

1+1/2+1/6+1/12+1/20+…+1/99*100=?
1+1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+...+(1/99-1/100)
=2-1/100
=199/100