1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+.+1/(9*10*11)1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+......+1/(9*10*11)=?
来源：学生作业帮助网 编辑：六六作业网 时间：2024/12/21 15:11:45
1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+.+1/(9*10*11)1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+......+1/(9*10*11)=?1/(1*2*
1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+.+1/(9*10*11)1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+......+1/(9*10*11)=?
1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+.+1/(9*10*11)
1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+......+1/(9*10*11)=?
1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+.+1/(9*10*11)1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+......+1/(9*10*11)=?
1/(2*3*4)=1/2*3-(1/3*4)
1/(3*4*5)=1/3*4-(1/4*5)
以此类推
1
---
11
1\11
正确答案：1\11