1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+```+1/29*30

来源：学生作业帮助网 编辑：作业帮 时间：2024/05/05 16:43:07
1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+```+1/29*30

1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+```+1/29*30
1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+```+1/29*30

1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+```+1/29*30
1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+```+1/29*30
=1-1/2+1/2-1/3+.+1/29-1/30
=1-1/30
=29/30