n 1 Given that P(n) is the equation ||(1 2 where n is an integer such 5. i +1 n +1' i=2 that n > 2, we will prove that P(n) is true for all n > 2 by induction. i. Base case: A. Write P(2). B. Show that P(2) is true. In this case, this requires showing that a left-hand side is equal to a right-hand side. ii. Inductive hypothesis: Let k > 2 be a natural number. Assume that P(k) is true. VWrite P(k). iii. Inductive step: A. Write P(k + 1). B. Use the assumption that P(k) is true to prove that P(k+1) is true. iv. Explain why this shows that P(n) is true for all n > 2.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.