Question 3

Prove each of the following statements using mathematical induction. For each statement, answer the following questions. (4 pt.) Complete the basis step of the proof by showing that the base case is true. (4 pt.) What is the inductive hypothesis? (4 pt.) What do you need to show in the inductive step of the proof? (8 pt.) Complete the inductive step of the proof. a. b. c. d. 5. Prove that 32n - 1 is divisible by 4 for any positive integer n Recall that an integer y is divisible by an integer x with x integer i such that y-x 0 if and only if there exists an