1/2+1/4+1/8+1/16+1/32+...+1/256简便运算

问题描述:

1/2+1/4+1/8+1/16+1/32+...+1/256简便运算
1个回答 分类:数学 2014-12-03

问题解答:

我来补答
1/2+1/4+1/8+1/16+1/32+...+1/256
=1/2+1/4+1/8+1/16+1/32+...+1/256+1/256-1/256
=1/2+1/4+1/8+1/16+1/32+...+1/128+1/128-1/256
=1/2+1/4+1/8+1/16+1/32+1/64+1/64-1/256
=1/2+1/4+1/8+1/16+1/32+1/32-1/256
=……
=1-1/256=255/256
 
 
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