Solve the following recurrence relations together with the initial conditions given. {a_n}=2{{a}_{


Question: Solve the following recurrence relations together with the initial conditions given.

\[{{a}_{n}}=2{{a}_{n-1}}+3{{a}_{n-2}}\] for \[n\ge 2\], \[{{a}_{0}}=1\], \[{{a}_{1}}=7\]. This problem is similar to P.471 #4 and P.463 Example 3.

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