1/2+1/4+1/8+1/16+1/32+1/64+1/128等于多少?
答案:2 悬赏:40
解决时间 2021-03-21 07:56
- 提问者网友:傀儡离开
- 2021-03-20 08:58
1/2+1/4+1/8+1/16+1/32+1/64+1/128等于多少?一定要简算啊!别太复杂了,急急急急急急急急急急急急急急急,20分钟之内啊!!!!!!
最佳答案
- 二级知识专家网友:情窦初殇
- 2021-03-20 10:11
将原式加上 1/128,再减去 1/128得
1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/128-1/128
=1/2+1/4+1/8+1/16+1/32+1/64+1/64-1/128
=1/2+1/4+1/8+1/16+1/32+1/32-1/128
=.....
=1-1/128
=127/128
1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/128-1/128
=1/2+1/4+1/8+1/16+1/32+1/64+1/64-1/128
=1/2+1/4+1/8+1/16+1/32+1/32-1/128
=.....
=1-1/128
=127/128
全部回答
- 1楼网友:承载所有颓废
- 2021-03-20 11:12
1/2+1/4+1/8+1/16+1/32+1/64+1/128
=1-1/2+(1/2-1/4)+(1/4-1/8)+(1/8-1/16)+(1/16-1/32)+(1/32-1/64)+(1/64-1/128)
=1-1/128
=127/128
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