Ononot — For a linear homogeneous recurrence an = c1 a{n-1} + c2 a{n-

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Recurrence Relationsmedium

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For a linear homogeneous recurrence $a_n = c_1 a_{n-1} + c_2 a_{n-2}$ , if the roots are complex $r = \alpha \pm \beta i$ , the general solution is $a_n = \rho^n(C_1 \cos(n\theta) + C_2 \sin(n\theta))$ . How are $\rho$ and $\theta$ defined?