Ononot — Determine the stability of the recurrence an = 0.5a{n-1} + 0

Recurrence Relationsmedium

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Determine the stability of the recurrence $a_n = 0.5a_{n-1} + 0.2a_{n-2}$ . A recurrence is stable if all roots $r$ of the characteristic equation satisfy $|r| < 1$ .