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For $b>1$ and $\cos x = a$, find the value of :

$\displaystyle \sum_{r=0}^{\infty} \frac{\cos(rx)}{b^r}$.

If for $b = \frac{3}{2}$ and $a = \frac{1}{2}$, this value can be expressed as $\frac{p}{q}$,where $p$ and $q$ are coprimes, then find $pq$.

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