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:2024/07/29 18:54:01
![1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+```+1/29*30](/uploads/image/z/658261-37-1.jpg?t=1%2F1%2A2%2B1%2F2%2A3%2B1%2F3%2A4%2B1%2F4%2A5%2B1%2F5%2A6%2B1%2F6%2A7%2B%60%60%60%2B1%2F29%2A30)
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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