Answer
The person puts aside\[\$536,870,912\]on 30th day.
Work Step by Step
The provided information can be modeled as a geometric progression with the following parameters:
\[a=1,\,r=2,\,n=30\]
The term \[{{a}_{30}}\] is,
\[\begin{align}
& {{a}_{n}}=a{{r}^{n-1}} \\
& {{a}_{30}}=1\times {{2}^{\left( 30-1 \right)}} \\
& ={{2}^{29}} \\
& =536870912
\end{align}\]
Hence, on\[{{13}^{th}}\]day the person puts aside\[\$536,870,912\].
