4. For each integer n with n 2, let P(n) be the formula n(n-1)(n+1) + i(i+1)=...

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4. For each integer n with n 2, let P(n) be the formula n(n-1)(n+1) + i(i+1)= 3 a. Write P(2). Is P(2) true? b. Write P(k). c. Write P(k+1). d. In a proof by mathematical induction that the formula holds for every integer n 2, what must be shown in the inductive step? 4. For each integer n with n 2, let P(n) be the formula n(n-1)(n+1) + i(i+1)= 3 a. Write P(2). Is P(2) true? b. Write P(k). c. Write P(k+1). d. In a proof by mathematical induction that the formula holds for every integer n 2, what must be shown in the inductive step?