Question 1190095
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The sequence of penny amounts is:
1,2,4,8,...
which is a geometric sequence with the following properties
a = 1 = first term
r = 2 = common ratio


Compute the sum of the first n = 30 terms to get
Sn = a*(1-r^n)/(1-r)
S30 = 1*(1-2^30)/(1-2)
S30 = 1,073,741,823


Over the course of 30 days, you would get 1,073,741,823 pennies


This converts to (1,073,741,823)/100 = $10,737,418.23 which is 10.7 million dollars approximately

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