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Recurrence Relationshard
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The recurrence an=0.8an−1−0.5an−2a_n = 0.8a_{n-1} - 0.5a_{n-2}an​=0.8an−1​−0.5an−2​ has complex characteristic roots. In polar form, these roots are r=ρe±iθr = \rho e^{\pm i\theta}r=ρe±iθ. What is the approximate value of ρ\rhoρ (the magnitude)?