#1 [5 points] You have just gotten a new swimming pool and need to add chlorine to the water. You add 32 chlorine in the pool evaporates. Write a recursive rule for the amount of chlorine in the pool each week. Write a C++ program to calculate how much chlorine is in the pool at the beginning of the Nth week (which includes the 14 ounces added at the beginning of the Nth week). Use this program to determine the amount of chlorine in the pool at the beginning of the sixth week? What happens to the amount of chlorine after an extended period of time? Based on the C++ code written in part (b) above what is the Big-0 complexity for this program in terms of execution time? a) b) c) d)