Given that P(n) is the equation 1+3+5+7+···+(2n−1) = n2, where n is an integer such that n ≥ 1, we will prove that P (n) is true for all n ≥ 1 by induction. (a) Base case: i. Write P(1). ii. Show that P(1) is true. In this case, this requires showing that a left-hand side is equal to a right-hand side

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A: Mathematical induction

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A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

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Statements and Logic

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