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Recurrence Relationsmedium
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Given the recurrence an=2an−1+3an−2a_n = 2a_{n-1} + 3a_{n-2}an​=2an−1​+3an−2​, a solution is of the form an=rna_n = r^nan​=rn. What is the property of the roots r1,r2r_1, r_2r1​,r2​ that dictates the growth rate of the sequence?