Given \(a_n = 2^n + 5*3^n\) for n =0,1,2,....
Prove that \(a_n = 5a_{n-1} -6a_{n-2} \) for \(n\geq 2\)
Please, help

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i have no idea
what happens if you try it directly?

What do you mean? I try induction, but I don't get the correct solution

i mean just write out what \[5a_{n-1} -6a_{n-2}\] is

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