For each integer n with n 2, let P(n) be the formula n1

Chapter 5, Problem 5.87

(choose chapter or problem)

For each integer n with n 2, let P(n) be the formula n1 i=1 i(i +1) = n(n1)(n+1) 3 . a. Write P(2). IsP(2) true? b. Write P(k). c. Write P(k+1). d. In a proof by mathematical induction that the formula holds for all integers n 2, what must be shown in the inductive step?

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