Question: Q2. the recursive sequence (a0, a1, . . .) dened by do = 7, a1 = 26 and an 2 7an_1 10an_2 for n 2

Q2. the recursive sequence (a0, a1, . . .) dened by do = 7, a1 = 26 and an 2 7an_1 10an_2 for n 2 2. 7 10 _,_ 26 LetA[1 OJandv[7]. \"n+1 (a) Using the convention that A0 = I 2, prove that A\" U = [ a n for all integers n 2 0. (b) Determine an invertible matrix P and diagonal matrix D such that A = PDP'l. (c) Using parts (a) and (b), prove that an explicit formula for the nth term of this recursive sequence is an 2 3- 2\" + 4- 5"
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