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,

问题描述:

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,

64/128+32/128+16/128+8/128+4/128+2/128+1/128=127/128

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