Question: using strong induction prove(c) thank you for help also can you induce some how to prove by strong induction general thoughts?? thank you 3. A

using strong induction prove(c) thank you for help also can you induce some how to prove by strong induction general thoughts?? thank you

3. A sequence (an)n20 is dened recursively by (10 = 2,01 = 3 and an = 3an_1 2an_2 for n 2 2. (a) Find the rst ve terms of this sequence. (b) Guess a formula or an. (c) Use strong induction to prove that your formula is correct. (d) Find a formula for an that involves only one preceding term. 4. Let (1171)\"? be an arithmetic progression with non-zero common diiference. Let (b'n)n21 be a geometric progression with a positive common ratio. Prove that there exists numbers a: and y such that b\" = my\"" for all n 2 1. [This exercise shows that arithmetic and geometric progressions are related!]

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