简便计算：1-1/2-1/4-1/8-1/16-1/32-1-1/64...-1/128 急急急
答案:2 悬赏:80 手机版
解决时间 2021-01-26 13:32
- 提问者网友：焚苦与心
- 2021-01-26 08:23
简便计算：1-1/2-1/4-1/8-1/16-1/32-1-1/64...-1/128 急急急
最佳答案
- 五星知识达人网友：毛毛
- 2021-01-26 08:54
1-1/2-1/4-1/8-1/16-1/32-1/64-1/128
=1-1/2-1/4-1/8-1/16-1/32-1/64-1/128-1/28+1/128
=1-1/2-1/4-1/8-1/16-1/32-1/64-1/64+1/128
=1-1/2-1/4-1/8-1/16-1/32-1/32+1/128
=1-1/2-1/4-1/8-1/16-1/16+1/128
=1-1/2-1/4-1/8-1/8+1/128
=1-1/2-1/4-1/4+1/128
=1-1/2-1/2+1/128
=1-1+1/128
=1/128
=1-1/2-1/4-1/8-1/16-1/32-1/64-1/128-1/28+1/128
=1-1/2-1/4-1/8-1/16-1/32-1/64-1/64+1/128
=1-1/2-1/4-1/8-1/16-1/32-1/32+1/128
=1-1/2-1/4-1/8-1/16-1/16+1/128
=1-1/2-1/4-1/8-1/8+1/128
=1-1/2-1/4-1/4+1/128
=1-1/2-1/2+1/128
=1-1+1/128
=1/128
全部回答
- 1楼网友：千杯敬自由
- 2021-01-26 09:35
解：
1-1/2-1/4-1/8-1/16-1/32-1/32+1/32
=1-1/2-1/4-1/8-1/16-1/16+1/32
=1-1/2-1/4-1/8-1/8+1/32
=1-1/2-1/4-1/4+1/32
=1-1/2-1/2+1/32
=1-1+1/32
=0+1/32
=1/32
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