Prove that, for all natural numbers n 2 1, 7 - 4" is divisible by 3. Select the steps necessary for a proof by induction. Prove the base case when n = 1. Use division to show that 72 - 4" for large values of 3. Assume the formula holds when n = k, that is 7K - 4% is divisible by 0 3. Since the result is true for n = 1 and the k + 1 case is true assuming the O k th case is true the formula holds for all cases. Show that 7*+1 - 4k+ is divisible by 3 by assuming that 7k - 4K is divisible by 3. Since the k + 1 case is true assuming the k th case is true the formula holds for all cases. Prove the base case when n = 0