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Name: ___Date: ___Quiz name: Discrete Math Feb 17 (Induction) Suppose there are statements Pn for each natural number n, and suppose I prove P5, I prove P12, and I prove that (for all n, Pn implies

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How to fill out maformmatical induction condition quotpkpk1quot

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Start by proving the base case (usually n=1 or n=0) to establish that the statement holds true.

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Assume the statement holds true for an arbitrary positive integer k (the induction hypothesis).

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Use the assumption to prove that the statement also holds true for k+1 (the induction step).

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Conclude that the statement is true for all positive integers by mathematical induction.

Who needs maformmatical induction condition quotpkpk1quot?

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Mathematicians and students studying mathematics often use mathematical induction to prove statements involving integers.

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