Let P(n) be the statement that 12 + 22+ = n(n + 1)(2n+1)6

QUESTION:

Let P(n) be the statement that 12 + 22+ = n(n + 1)(2n+1)6 for the positive integer n.a) What is the statement P(1)?________________b) Show that P(1) is true, completing the basis step of the proof.________________c) What is the inductive hypothesis?________________d) What do you need to prove in the inductive step?________________e) Complete the inductive step, identifying where you use the inductive hypothesis.________________f) Explain why these steps show that this formula is true whenever n is a positive integer.