an = −an−1 + 6an−2 , ∀n ∈ Z, n ≥ 2 , a0 = 1,...

Question

Question

an = −an−1 + 6an−2 , ∀n ∈ Z, n ≥ 2 , a0 = 1, a1 = 2 .
(a) Write out the first 5 terms of the sequence.

(b) Find the characteristic equation.

(c) Factor the characteristic equation.

(d) State the explicit formula for an.

(e) Using the explicit formula found in part (d), write out the first 5 terms of the sequence. Verify that
these terms are the same as part (a).

Answer 1

Answer #1

Answer 2

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