At birth bens dad puts $1 in a savings account. Each year on his birthday he goves him double the amount in his account. Write a exponential equation.

How much money will he have in his account on his 18th birthday?

This problem Is an example of geometrica progression. The formula for the sum of geometric progression is:

S = a[ (r^n) - 1] / (r - 1)

Where s is the sum

a is the first term = 1

r is the common ratio = 2 (because it doubles every year

n is the number of terms = (19) since the first term is when he was born which he still 0

s = S = 1[ (2^19) - 1] / (2 - 1)

s = $524,287