Brian deposited 1 cent into an empty non-interest bearing bank account on the first day of the month. He then additionally deposited 3 cents on the second day, 9 cents on the third day, and 27 cents on the fourth day.
a) Assuming this pattern continues, write a geometric series formula, sy, for the sum of the first n terms
b) What would be the total amount of money in the account at the end of the 20th day if the pattern continued?
