Part I: Induction (90 pt.) (90 pt., 15 pt. each) Prove each of the following statements…

Part I: Induction (90 pt.) (90 pt., 15 pt. each) Prove each of the following statements using induction, strong induction, or structural induction. For each statement, answer the following questions. a. (3 pt.) Complete the basis step of the proof. b. (3 pt.) What is the inductive hypothesis? c. (3 pt.) What do you need to show in the inductive step of the proof? d. (6 pt.) Complete the inductive step of the proof. 5. Let bo, bu, b2,… be the sequence defined by the following recurrence relation: • bo = 12 by = 29 b = 5.-1-6bi-2 for i > 2 Prove that bn = 5.3″ + 7.2″ for any nonnegative integer n.