Question

In a recent court case, a judge cited a city for contempt and ordered a fine of $2 for the first day. each subsequent day, until the city followed the judge's order, the fine was squared (i.e., the fine progressed as follows: $2, $4, $16, $256, $65,536, . . .).
a. what would be the fine on day n?

Answer 1

T(n)= (n-1)^2. That means that you are taking the term before the one you want and squaring it to get the term you want