2/3+2/15+2/35+2/63+2/99+2/143如何简便计算?
答案:1 悬赏:50
解决时间 2021-01-08 13:12
- 提问者网友:刺鸟
- 2021-01-07 22:47
2/3+2/15+2/35+2/63+2/99+2/143如何简便计算?
最佳答案
- 二级知识专家网友:不想翻身的咸鱼
- 2021-01-07 23:27
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
(满意的话麻烦给好评,谢谢啦。)
=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
(满意的话麻烦给好评,谢谢啦。)
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