1/12+1/24+1/40+1/60+1/84+1/112+1/144+1/180
答案:2 悬赏:40 手机版
解决时间 2021-04-10 22:43
- 提问者网友：不爱我么
- 2021-04-10 05:11
1/12+1/24+1/40+1/60+1/84+1/112+1/144+1/180
最佳答案
- 五星知识达人网友：琴狂剑也妄
- 2021-04-10 06:36
1/12+1/24+1/40+1/60+1/84+1/112+1/144+1/180
=1/2*(1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90)
=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+1/8-1/9+1/9-1/10)
=1/2*(1/2-1/10)
=1/2*2/5
=1/5
=1/2*(1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90)
=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+1/8-1/9+1/9-1/10)
=1/2*(1/2-1/10)
=1/2*2/5
=1/5
全部回答
- 1楼网友：底特律间谍
- 2021-04-10 08:05
1/4+1/12+1/24+1/40+1/60+1/84+1/112
=1/2*(1/2+1/6+1/12+1/20+1/30+1/42+1/56)
=1/2*(1-1/2+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*(7/8)
=7/16
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