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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.
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?
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a To write P2 we substitute n 2 into the given formula 2 1 11 1 22 12 1 3 1 2 2 1 3 3 2 2 So ...
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Discrete Mathematics and Its Applications
Authors: Kenneth H. Rosen
7th edition
0073383090, 978-0073383095
