1/3+1/15+1/35+1/63+1/99+1/143的简便算法(写过程)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/05 06:01:57
![1/3+1/15+1/35+1/63+1/99+1/143的简便算法(写过程)](/uploads/image/z/43457-41-7.jpg?t=1%2F3%2B1%2F15%2B1%2F35%2B1%2F63%2B1%2F99%2B1%2F143%E7%9A%84%E7%AE%80%E4%BE%BF%E7%AE%97%E6%B3%95%EF%BC%88%E5%86%99%E8%BF%87%E7%A8%8B%EF%BC%89)
1/3+1/15+1/35+1/63+1/99+1/143的简便算法(写过程)
1/3+1/15+1/35+1/63+1/99+1/143的简便算法(写过程)
1/3+1/15+1/35+1/63+1/99+1/143的简便算法(写过程)
原式=1/1*3+1/(3*5)+1/(5*7)+1/(7*9)+1/(9*11)+1/(11*13)
=1/2(1-1/3)+1/2(1/3-1/5)+1/2(1/5-1/7)+1/2(1/7-1/9)+1/2(1/9-1/11)+1/2(1/11-1/13)
=1/2(1-1/13)=6/13