1/4+1/12+1/24+1/40+到1/220等于多少
答案:2 悬赏:10
解决时间 2021-01-19 07:37
- 提问者网友:骨子里的高雅
- 2021-01-18 15:51
1/4+1/12+1/24+1/40+到1/220等于多少
最佳答案
- 二级知识专家网友:野慌
- 2021-01-18 16:28
1/4+1/12+1/24+1/40+1/60+1/84+1/112+1/144+1/180+1/220等于多少
1/4+1/12+1/24+1/40+1/60+1/84+1/112+1/144+1/180+1/220
=1/2×(1/2+1/6+1/12+1/20+1/30+1/42+1/561+/72+1/90+1/110)
=1/2×(1-1/2+1/2-1/3+1/3-1/4+……+1/10-1/11)
=1/2×(1-1/11)
=1/2×10/11
=10/22
=5/11
1/4+1/12+1/24+1/40+1/60+1/84+1/112+1/144+1/180+1/220
=1/2×(1/2+1/6+1/12+1/20+1/30+1/42+1/561+/72+1/90+1/110)
=1/2×(1-1/2+1/2-1/3+1/3-1/4+……+1/10-1/11)
=1/2×(1-1/11)
=1/2×10/11
=10/22
=5/11
全部回答
- 1楼网友:街头电车
- 2021-01-18 17:22
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