Prove by induction that the sum of the first n odd numbers is n². In other words, prove E1(2i – 1) = n² for natural numbers n > 1. %3D

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Q: Example 7: Permutations of n items taken r at a time Evaluate each expression (a) P(7,3) (b) P(15,5)

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Q: 3) Prove by induction that n²>2n + 3 for every integer n >3

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A: Option (3) is correct.

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A: General Form of an Inductive Proof Assume we wish to prove a statement P(n) where n ≥ c , where c…

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