Ononot — The recurrence an = 0.5a{n-1} + 0.3a{n-2} has characteristic

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Recurrence Relationsmedium

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The recurrence $a_n = 0.5a_{n-1} + 0.3a_{n-2}$ has characteristic roots approximately $r_1 \approx 0.65$ and $r_2 \approx 0.15$ . Which statement correctly describes the sequence's long-term behavior?