数学1-2/3-2/9-2/27-2/81-2/243-2/729 简算

问题描述:

数学1-2/3-2/9-2/27-2/81-2/243-2/729 简算
1个回答 分类:数学 2014-11-13

问题解答:

我来补答
原式=1-2/3-(2/3X1/3)-(2/3X1/9)-(2/3X1/28)-(2/3X1/84)-(2/3X1/252)
=1-2/3X(1+1/3+1/9+1/28+1/84+1/252)
=1-2/3X(252/252+81/252+27/252+9/252+3/252+1/252)
=1-2/3X(373/252)
=1-746/756
=10/756
=5/378
 
 
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