If a0 = a1 = 1 and ak+1 = ak + 6ak1 for all k 1, use methods of linear algebra to

Chapter 6, Problem 8

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QUESTION:

If \(a_{0}=a_{1}=1 \text { and } a_{k+1}=a_{k}+6 a_{k-1}\) for all \(k\ \geq\ 1\), use methods of linear algebra to determine the formula for \(a_k\).

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QUESTION:

If \(a_{0}=a_{1}=1 \text { and } a_{k+1}=a_{k}+6 a_{k-1}\) for all \(k\ \geq\ 1\), use methods of linear algebra to determine the formula for \(a_k\).

ANSWER:

Step 1 of 2

Given that  and .

The aim is to find the expression for.

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