数学题：1×1/2+1/2×1/3+1/3×1/4+1/4×1/5+1/5×1/6+1/6×1/7
答案:6 悬赏:10 手机版
解决时间 2021-03-01 18:42
- 提问者网友：锁深秋
- 2021-03-01 00:45
数学题：1×1/2+1/2×1/3+1/3×1/4+1/4×1/5+1/5×1/6+1/6×1/7
最佳答案
- 五星知识达人网友：痴妹与他
- 2021-03-01 01:39
1×1/2+1/2×1/3+1/3×1/4+1/4×1/5+1/5×1/6+1/6×1/7
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7
=1-1/7
=6/7
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7
=1-1/7
=6/7
全部回答
- 1楼网友：持酒劝斜阳
- 2021-03-01 04:41
6/7.提示：1/(n*(n+1))=1/n-1/(n+1)
- 2楼网友：迟山
- 2021-03-01 03:27
等于6/7
- 3楼网友：孤独的牧羊人
- 2021-03-01 03:03
铡熷纺=1/(1脳2)+1/(2脳3)+...+1/(6脳7)=1-1/2+1/2-1/3+...+1/6-1/7=1-1/7=6/7
- 4楼网友：掌灯师
- 2021-03-01 02:04
原式=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7
=1-1/7
=6/7
=1-1/7
=6/7
- 5楼网友：鱼芗
- 2021-03-01 01:55
原式=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7=6/7
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