Consider the following sequence: F(1) = 8 F(2) = 16 F(n) = 6F(n − 1) − 5F(n - - 2) for n ≥ 3 indicate which kind of recurrence relation it is (linear/not-linear, first/second/n-th order, homogeneous or not, constant/no-constant coefficients, divide- and-conquer): Find the closed-form expression of the recursive sequence

Q: Suppose that the infinite sequence a0, a1, a2 ... is defined like this. a0   =   02 a1   =…

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Q: Find recurrence relations that describe the following sequences. 1, 4, 13, 40, 121 . . . . 1, -3,…

A: Look for a common pattern that the sequence follows.

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A: (a) Given: an=3an-1-an-2, a1=1, a2=-1

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Q: 8. Given the recursive sequence an = 3 · an-1 – 2 · an-2, where ao = 0, a1 = 1, (a) Find a2, a3, a4,…

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Q: {tr(F")}~-1~ n=1 (9) Find a recurrence relation that generates the sequence tr

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