For all positive integers, let P(n) be the equation 2 + 6 + 10 + c+ (4n 2) = 2n2 a

Chapter 2, Problem 1

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For all positive integers, let P(n) be the equation 2 + 6 + 10 + c+ (4n 2) = 2n2 a. Write the equation for the base case P(1) and verify that it is true. b. Write the inductive hypothesis P(k). c. Write the equation for P(k + 1). d. Prove that P(k + 1) is true.

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