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:作业帮 时间:2024/07/02 01:22:27
![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)=?](/uploads/image/z/12906886-22-6.jpg?t=1%2F%281%2A2%2A3%29%2B1%2F%282%2A3%2A4%29%2B1%2F%283%2A4%2A5%29%2B.%2B1%2F%289%2A10%2A11%291%2F%281%2A2%2A3%29%2B1%2F%282%2A3%2A4%29%2B1%2F%283%2A4%2A5%29%2B......%2B1%2F%289%2A10%2A11%29%3D%3F)
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