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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 :

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

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