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：2025/01/19 21:13:30

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+1/6+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)=?
99/100
1/n(n-1)
dengyu
1/(n-1)-1/n

http://zhidao.baidu.com/question/13689934.html?si=3

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