1/6+2/15+2/35+2/63+2/99+2/132等于多少
答案:3 悬赏:60 手机版
解决时间 2021-03-29 03:59
- 提问者网友：孤凫
- 2021-03-28 20:01
1/6+2/15+2/35+2/63+2/99+2/132等于多少
最佳答案
- 五星知识达人网友：长青诗
- 2021-03-28 21:38
=1/6 + 2/(4²-1)+2/(6²-1) + 2/(8²-1)+2/(10²-1) +2/132
=1/6 + (1/3-1/5) + (1/5-1/7) + (1/7-1/9) + (1/9-1/11) +1/66
=1/6+1/3-1/11+1/66
=1/2-1/11+1/66
=14/33
=1/6 + (1/3-1/5) + (1/5-1/7) + (1/7-1/9) + (1/9-1/11) +1/66
=1/6+1/3-1/11+1/66
=1/2-1/11+1/66
=14/33
全部回答
- 1楼网友：神鬼未生
- 2021-03-29 00:27
2/15=1/3-1/5;2/35=1/5-1/7;2/63=1/7-1/9;2/99=1/9-1/11;2/132=1/11-1/12+1/132
原试1/6+2/15+2/35+2/63+2/99+2/132
=1/6+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/12+1/132
=1/6+1/3-1/12+1/132=1/2-1/12=14/33
原试1/6+2/15+2/35+2/63+2/99+2/132
=1/6+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/12+1/132
=1/6+1/3-1/12+1/132=1/2-1/12=14/33
- 2楼网友：行雁书
- 2021-03-28 23:07
1/6+2/15+2/35+2/63+2/99+2/132
=(1/6+2/63)+(2/15+2/35)+(2/99+2/132)
=25/126+4/21+7/198
=(25/126+7/198)+4/21
=18/77+4/21
=98/231
=14/33
=(1/6+2/63)+(2/15+2/35)+(2/99+2/132)
=25/126+4/21+7/198
=(25/126+7/198)+4/21
=18/77+4/21
=98/231
=14/33
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