Tuesday 20 August 2013

discrete mathematics - Finding a closed form formula for a recursive sequence.

$a_0 = 1, a_1 = 3$ and



$a_n = 2a_{n-1} + a_{n-2}$



How do I obtain a closed form for this sequence? We have learned about the method of characteristic roots, but I am unsure how to take that and turn this into a closed form.

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