1/3+1/6+1/12+1/24+1/48+1/96 速算法？
答案:4 悬赏:20 手机版
解决时间 2021-04-21 00:15
- 提问者网友：無理詩人
- 2021-04-19 23:36
1/3+1/6+1/12+1/24+1/48+1/96 速算法？
最佳答案
- 五星知识达人网友：蕴藏春秋
- 2021-04-20 01:02
1/3+1/6+1/12+1/24+1/48+1/96
=1/3+1/6+1/12+1/24+1/48+1/96+1/96-1/96
=1/3+1/6+1/12+1/24+1/48+1/48-1/96
=1/3+1/6+1/12+1/24+1/24-1/96
=1/3+1/6+1/12+1/12-1/96
=1/3+1/6+1/6-1/96
=1/3+1/3-1/96
=2/3-1/96
=64/96-1/96
=63/96
=21/32
=1/3+1/6+1/12+1/24+1/48+1/96+1/96-1/96
=1/3+1/6+1/12+1/24+1/48+1/48-1/96
=1/3+1/6+1/12+1/24+1/24-1/96
=1/3+1/6+1/12+1/12-1/96
=1/3+1/6+1/6-1/96
=1/3+1/3-1/96
=2/3-1/96
=64/96-1/96
=63/96
=21/32
全部回答
- 1楼网友：千杯敬自由
- 2021-04-20 03:14
追答同时加一个1╱96和减一个1╱96
- 2楼网友：刀戟声无边
- 2021-04-20 02:05
等比数列求和公式追答1/3*（1-1/2^6）÷（1-1/2）=21/32
- 3楼网友：纵马山川剑自提
- 2021-04-20 01:46
1/3+1/6+1/12+1/24+1/48+1/96
=32/96＋16/96＋8/96＋4/96＋2/96＋1/96
=63/96
=21/32
=32/96＋16/96＋8/96＋4/96＋2/96＋1/96
=63/96
=21/32
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