Ononot — If an = 4^n satisfies the recurrence an = 5a{n-1} - 4a{n-2},

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Recurrence Relationsmedium

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If $a_n = 4^n$ satisfies the recurrence $a_n = 5a_{n-1} - 4a_{n-2}$ , and we define $b_n = 3a_n$ , what recurrence does $b_n$ satisfy?