找出规律计算:1-1/2-1/4-1/8-···-1/64-1/128-1/256

问题描述:

找出规律计算:1-1/2-1/4-1/8-···-1/64-1/128-1/256
1个回答 分类:数学 2014-10-06

问题解答:

我来补答
原式=1-(1-1/2)-(1/2-1/4)-(1/4-1/8)-……-(1/32-1/64)-(1/64-1/128)-(1/128-1/256)
=1-1+1/2-1/2+1/4-1/4+1/8-……-1/32+1/64-1/64+1/128-1/128+1/256
=1/256
 
 
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