Q#4 Consider the arithmetic sequence S, where the i-th term of S is defined as follows for positive integer i: S(0) = 2 + 6*(i-1) So S(1) = 2, S(2) = 8, S(3) = 14, and so on. We will use induction to prove the closed form of the sum of the first k terms of S is equal to 3k^2 - k, for every positive integer k. 1. Show your base case(s). 2. Show the proof of your inductive step. Be explicit about how you are using your inductive hypothesis and the claim you want to prove for k