1/2+3/4+7/8+15/16+31/32+63/64=？ 简便方法！
答案:3 悬赏:60 手机版
解决时间 2021-01-15 12:30
- 提问者网友：锁深秋
- 2021-01-14 12:04
1/2+3/4+7/8+15/16+31/32+63/64=？ 简便方法！
最佳答案
- 五星知识达人网友：山有枢
- 2021-01-14 13:40
1/2+3/4+7/8+15/16+31/32+63/64
=（1-1/2)+(1-1/4)+(1-1/8)+(1-1/16)+(1-1/32)+(1-1/64)
=6-(1/2+1/4+1/8+1/16+1/32+1/64)
=6-(1/2+1/4+1/8+1/16+1/32+1/64+1/64)+1/64
=6-(1/2+1/4+1/8+1/16+1/32+1/32)+1/64
=6-(1/2+1/4+1/8+1/16+1/16)+1/64
=6-(1/2+1/4+1/8+1/8)+1/64
=6-(1/2+1/4+1/4)+1/64
=6-(1/2+1/2)+1/64
=5又1/64
=（1-1/2)+(1-1/4)+(1-1/8)+(1-1/16)+(1-1/32)+(1-1/64)
=6-(1/2+1/4+1/8+1/16+1/32+1/64)
=6-(1/2+1/4+1/8+1/16+1/32+1/64+1/64)+1/64
=6-(1/2+1/4+1/8+1/16+1/32+1/32)+1/64
=6-(1/2+1/4+1/8+1/16+1/16)+1/64
=6-(1/2+1/4+1/8+1/8)+1/64
=6-(1/2+1/4+1/4)+1/64
=6-(1/2+1/2)+1/64
=5又1/64
全部回答
- 1楼网友：洎扰庸人
- 2021-01-14 14:09
1/2+3/4+7/8+15/16+31/32+63/64
=1-1/2+1-1/4+1-1/8+1-1/16+1-1/32+1-1/64
=6-1/2-1/4-1/8-1/16-1/32-1/64-1/64+1/64
=6-1/2-1/4-1/8-1/16-1/32-1/32+1/64
=6-1/2-1/4-1/8-1/16-1/16+1/64
……
=6-1+1/64
=5又1/64
=1-1/2+1-1/4+1-1/8+1-1/16+1-1/32+1-1/64
=6-1/2-1/4-1/8-1/16-1/32-1/64-1/64+1/64
=6-1/2-1/4-1/8-1/16-1/32-1/32+1/64
=6-1/2-1/4-1/8-1/16-1/16+1/64
……
=6-1+1/64
=5又1/64
我要举报
如以上回答内容为低俗、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！
点此我要举报以上问答信息
大家都在看
推荐资讯