In three years, Bernie Slight wants to have $$6,000$ for a down payment on a house. He is

going to save some of his salaries each year for the next $3$ years. At the end of each year,

he will deposit the money into an account paying $4\%$ interest. Because his salary is

increasing, he plans on doubling his savings each year. How much will he need to save

this first year to achieve his goal?