Question

Mario deposits $300 in a savings account over the course of a year. He deposits money into the account throughout t next year until his balance is doubled. The next year he does the same and deposits money into the account until his previous year's balance is doubled Assume that this trend continues and his account does not earn interest. Consider his initial balance to be year one. what explicit formula can be used to determine the balance of his savings account at the end of n years?

Answer 1

 The answer is an=2⋅ 300^n−1.