Prove each of the following statements using strong induction. For each statement, answer the following questions.

(a) Complete the basis step of the proof.

(b) What is the inductive hypothesis?

(c) What do you need to show in the inductive step of the proof?

(d) Complete the inductive step of the proof.

Let , , , ... be the sequence defined by the following recurrence relation:

=

=

= for Prove that = + for any nonnegative integer .