Answer
$\$16384$
Work Step by Step
The general formula to find the nth term of a Geometric sequence is given as: $ a_{n}=a_1r^{n-1}$
Here, we have $ a_1= \$ 1$ and since the money gets doubled each day, $ r=2$
Now, $ a_{15}=1 \times (2)^{15-1}=2^{14}=16384$
