Let pen) be the statement that 1 2 + 2 2 + . . . + n 2 =
Chapter 4, Problem 4.1.3(choose chapter or problem)
Let pen) be the statement that 1 2 + 2 2 + . . . + n 2 = n(n + 1)(2n + 1)/6 for the positive integer n. a) What is the statement pel)? b) Show that pel) 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. 1) Explain why these steps show that this formula is true whenever n is a positive integer
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