Answer
512 dollars saved on day 10
536,870,912 dollars saved on day 30
Work Step by Step
1 dollar, day 1
2 dollars, day 2
4 dollars, day 3
$4/2=2$
$2/1=2$
Common ratio is 2
$a_n = 2^{n-1}$
$n=10$
$a_10=2^{10-1}$
$a_10=2^9$
$a_10 = 512$
512 dollars saved on day 10
$n=30$
$a_30=2^{30-1}$
$a_30=2^{29}$
$a_30 = 536,870,912$
536,870,912 dollars saved on day 30