1/(2*3)+1/(3*4)+1/(4*5)+...+1/(98*99)+1/(99*100)等于多少请解释为什么
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/21 13:44:01
![1/(2*3)+1/(3*4)+1/(4*5)+...+1/(98*99)+1/(99*100)等于多少请解释为什么](/uploads/image/z/336211-43-1.jpg?t=1%2F%282%2A3%29%2B1%2F%283%2A4%29%2B1%2F%284%2A5%29%2B...%2B1%2F%2898%2A99%29%2B1%2F%2899%2A100%29%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91%E8%AF%B7%E8%A7%A3%E9%87%8A%E4%B8%BA%E4%BB%80%E4%B9%88)
x)302Z&`DTS[OOĶвZZjh>_dW%nblzcד
Ovv$Sd$ ,
ǂ5ō 6ҦP]@%e d!sM,l<;mBL5 ̉
1/(2*3)+1/(3*4)+1/(4*5)+...+1/(98*99)+1/(99*100)等于多少请解释为什么
1/(2*3)+1/(3*4)+1/(4*5)+...+1/(98*99)+1/(99*100)等于多少
请解释为什么
1/(2*3)+1/(3*4)+1/(4*5)+...+1/(98*99)+1/(99*100)等于多少请解释为什么
1/(2*3)+1/(3*4)+1/(4*5)+...+1/(98*99)+1/(99*100)
=1/2-1/3+1/3-1/4+1/4-1/5+...+1/98-1/99+1/99-1/100
=1/2-1/100
=49/100
1/2-1/100=49/100