作业帮1-1/2+1/3-1/4+1/5-1/6+…+1/15=23*[1/( )+1/( )+1/( )+1/( )]
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/29 20:32:52
![1-1/2+1/3-1/4+1/5-1/6+…+1/15=23*[1/( )+1/( )+1/( )+1/( )]](/uploads/image/z/13601413-37-3.jpg?t=1-1%2F2%2B1%2F3-1%2F4%2B1%2F5-1%2F6%2B%E2%80%A6%2B1%2F15%3D23%2A%5B1%2F%28+%29%2B1%2F%28+%29%2B1%2F%28+%29%2B1%2F%28+%29%5D)
1-1/2+1/3-1/4+1/5-1/6+…+1/15=23*[1/( )+1/( )+1/( )+1/( )]
1-1/2+1/3-1/4+1/5-1/6+…+1/15=23*[1/( )+1/( )+1/( )+1/( )]
1-1/2+1/3-1/4+1/5-1/6+…+1/15=23*[1/( )+1/( )+1/( )+1/( )]
1-1/2+1/3-1/4+1/5-1/6+…+1/15
＝1＋1/2+1/3＋1/4+1/5＋1/6+…+1/15－1-1/2-1/3-1/4-1/5-1/6-1/7
＝1/8＋1/9＋1/10＋1/11＋1/12＋1/13＋1/14＋1/15
8+15=23 9+14=23 .
1/23×（1/8+1/15)＝1/120
1/23×（1/9+1/14)＝1/126
1/23×（1/10+1/13)＝1/130
1/23×（1/11+1/12)＝1/132
上式＝23×[1/(120)+1/(126)+1/(130)+1/(132)]