Part I: Induction (10 pt.) (10 pt, 5 pt. each) Prove each of the following statements using mathematical induction. For each statement, answer the following questions a. (1 pt.) Complete the basis step of the proof by showing that the base case is true. b. (1 pt.) What is the inductive hypothesis? c. (1 pt.) What do you need to show in the inductive step of the proof? d. (2 pt.) Complete the inductive step of the proof 1. Let ag, a, az... be the sequence defined by the following recurrence relation: Prove that a > 4n for any nonnegative integer n