Editor
For any positive integer $n,1+\frac{1}{2}+\frac{1}{4}+.....+\frac{1}{2^{n-1}}=$
Difficulty: Easy
A: 
$2[1-\frac{1}{2^{n}}$
B: 
$[1-\frac{1}{2^{n}}$
C: 
$n[1-\frac{1}{2^{n}}$
D: 
$2[1+\frac{1}{2^{n}}$
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