计算:1/2+1/6+1/12+1/30+1/42+1/56=?
答案:6 悬赏:0 手机版
解决时间 2021-11-27 07:59
- 提问者网友：十年饮冰
- 2021-11-26 13:23
计算:1/2+1/6+1/12+1/30+1/42+1/56=?
最佳答案
- 五星知识达人网友：零点过十分
- 2021-11-26 14:55
1/2+1/6+1/12+1/30+1/42+1/56
=1/(1x2)+1/(2x3)+...+1/(7x8)
=(1/2-1/3)+(1/3-1/4)+...+(1/7-1/8)
=1/2 -1/8
=3/8
=1/(1x2)+1/(2x3)+...+1/(7x8)
=(1/2-1/3)+(1/3-1/4)+...+(1/7-1/8)
=1/2 -1/8
=3/8
全部回答
- 1楼网友：躲不过心动
- 2021-11-26 19:32
图
- 2楼网友：玩家
- 2021-11-26 18:39
这个有规律的，1/2=1/（1×2）=1-1/2，1/6=1/（2×3）=1/2-1/3以此内推最后等于7/8
- 3楼网友：煞尾
- 2021-11-26 17:48
=1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/6-1/7)+(1/7-1/8)
=1/2+1/2-1/8
=7/8
=1/2+1/2-1/8
=7/8
- 4楼网友：空山清雨
- 2021-11-26 17:09
1/2+1/6+1/12+1/30+1/42+1/56
=1/2+(1/2-1/3)+(1/3-1/4)+(1/5/-1/6)+(1/6-1/7)+(1/7-1/8)
=1-1/4+1/5-1/8
=5/8+1/5
=33/40
=1/2+(1/2-1/3)+(1/3-1/4)+(1/5/-1/6)+(1/6-1/7)+(1/7-1/8)
=1-1/4+1/5-1/8
=5/8+1/5
=33/40
- 5楼网友：时间的尘埃
- 2021-11-26 15:42
5080320/10160640+1693440/10160640+846720/10160640+338688/10160640+241920/10160640+181440/10160640=8382528/10160640
我要举报
如以上问答信息为低俗、色情、不良、暴力、侵权、涉及违法等信息，可以点下面链接进行举报！
大家都在看
推荐资讯