Which is a step in proof by mathematical induction?   a. Substitute n = k + 2 into the formula. b. Assume that the formula is true for the (k + 1) term. c. Prove the formula is true for n = k. d. Assume the formula is true for some other value.

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Q: Prove the following statement by mathematical induction. For every integer n2 0, 2" < (n + 2)!.…

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Q: 1. Proofs and definitions by induction: a. Show 3 | n³ – n for all n b. Define the set of powers of…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.