Consider the sequences 2,5, 12, 29, 70, 169, 408,... (with ao = 2). %3D (a) Describe the rate of growth of this sequence. (b) Find a recursive definition for the sequence. (c) Find a closed formula for the sequence.

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A: a1=4 a2=-2 a3=-8 a4=-11 Note that commond difference d=-6

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Q: Write down the sequence whose nth term is (i) 2"/n and (ii) [3+ (-1)"]/3".

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A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: with examples, many ways that a sequence could diverge

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