1/2+3/4+7/8+15/16+31/32+63/64+127/128

问题描述:

1/2+3/4+7/8+15/16+31/32+63/64+127/128
1个回答 分类:数学 2014-11-29

问题解答:

我来补答
1/2+3/4+7/8+15/16+31/32+63/64+127/128
=1-1/2+1-1/4+1-1/8+1-1/16+1-1/32+1-3/64+1-1/128
=7-(1/2+1/4+1/8+1/16+1/32+1/64+1/128)
=7-[(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/128)-1/128]
=7-(1-1/128)
=7-127/128
=6又1/128
 
 
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