Ononot — For the recurrence an = 3a{n-1} - 2a{n-2} with a0 = 2 and a1

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Recursionmedium

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For the recurrence $a_n = 3a_{n-1} - 2a_{n-2}$ with $a_0 = 2$ and $a_1 = 3$ , what is the characteristic equation and its roots?