Answer
64 inches thick
Work Step by Step
No folds—1/512 of an inch
1 fold—1/256 of an inch
2 folds—1/128 of an inch
15 folds
$1/256 / 1/512 = 2$
$1/128 / 1/256 =2$
Common ratio of 2, $n=15$
$a_n=1/512 *2^n$
$a_{15}=1/512 *2^{15}$
$a_{15}= \frac{1}{512} *2^{15}$
$a_{15} =\frac{1}{2^9}*2^{15}$
$a_{15}=\frac{2^{15}}{2^9}$
$15-9=6$
$a_{15} = 2^{15-9}$
$a_{15} = 2^6$
$a_{15} = 64$
64 inches thick
