1/1*2+1/2*3+1/3*4+1/4*5+------+1/99*100要用拆项相消法帮忙看看

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/16 21:33:14

1/1*2+1/2*3+1/3*4+1/4*5+------+1/99*100要用拆项相消法帮忙看看
1/1*2+1/2*3+1/3*4+1/4*5+------+1/99*100
要用拆项相消法帮忙看看

1/1*2+1/2*3+1/3*4+1/4*5+------+1/99*100要用拆项相消法帮忙看看
1/1*2+1/2*3+1/3*4+1/4*5+------+1/99*100
=1-1/2+1/2-1/3+1/4-1/5+……+199-1/100
=1-1/100
=99/100