1. For not shoveling the snow off your sidewalk, the city fined you $2 for the first day. Each subsequent day, until you shovel the snow, the fine is squared (i.e., the fine progresses as follows: $2, $4.516, $256. $65.536...). a. What would be the fine on day N? Show your work. b. How many days would it take for the fine to reach D dollars? Hint: Use floor or ceiling. Show your work. 2. Use mathematical induction to prove your formula for problem la