Prove each of the following statements using strong induction. For each statement, answer the following questions. (3 pt.) Complete the basis step of the proof. (3 pt.) What is the inductive hypothesis? (3 pt.) What do you need to show in the inductive step of the proof? (6 pt.) Complete the inductive step of the proof. a. b. C. d. Let b1,b2. b3, ...be the sequence defined by the following recurrence relation: 6. b 2 bi-i +bi-2 for i 2 3 Prove that bn is odd for any positive integern. 7. Let co,ci, c2,... be the sequence defined by the following recurrence relation: C129 Ci1-6 Ci-2 for i 2 Prove that cn 5 3" +7 2" for any nonnegative integer n