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Recurrence Relationsmedium
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Determine the stability of the recurrence an=0.5an−1+0.2an−2a_n = 0.5a_{n-1} + 0.2a_{n-2}an​=0.5an−1​+0.2an−2​. A recurrence is stable if all roots rrr of the characteristic equation satisfy ∣r∣<1|r| < 1∣r∣<1.