Question: (10 points) Let the sequence {a n } (n 1) be defined recursively by a 1 = 2 a 2 = 9 an = 2a

(10 points) Let the sequence {an}(n (10 points) Let the sequence {an}(n 1)be defined recursively by a1 =1)be defined recursively by

a1 = 2

a2 = 9

an = 2an-1 + 3an-2 for n 3

Prove by strong induction that an 3 n for all positive integers n.

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