Question: Show that the sequence {a n } is the solution of the (incomplete) recurrence relation a n = 3a n-1 + 4a n-2 in which

Show that the sequence {a_n} is the solution of the (incomplete) recurrence relation

a_n = 3a_n-1 + 4a_n-2

in which case...

a_n = 1

In this question, the recurrence list offered is incomplete, as it has no basis. This item proposes a way to complete the recurrence relationship to resolve it. You must therefore use the expression given in the item to calculate a₀, a₁, completing the recurrence relation, then prove that the result of the closed formula matches the value of the recurrence relation (now complete) for all n N.

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