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For any positive integer $n,1+\frac{1}{2}+\frac{1}{4}+.....+\frac{1}{2^{n-1}}=$
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Sep 18, 2022
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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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ID: 63273db9ca83163ac3a1162b