Mary persuaded n friends to donate $500 each to her election campaign, and then each of these n friends persuaded n more people to donate $500 each to Mary's campaign. If no one donated more than once and if there were no other donations, what was the value of n?
(1)The first n people donated $$\frac1 {16}$$ of the total amount donated.
(2)The total amount donated was $120,000.