Infinite sum of delta function when calculating Fourier Transform

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I am trying to find the Fourier Transform of the periodic function

$$ f (\theta) = \sum_{n=- \infty}^{\infty} a_n \space \exp(i n \theta)$$.

Using the formula, $$ f(k) = \int_{- \infty}^{\infty} d \theta \space \exp(-ik \theta ) f(\theta)$$

I get the following infinite sum $ 2 \pi a_n \sum_{n=- \infty}^{\infty} \space \delta (k - n)$

Where do I go from here?