# Another form presents geometric sequence

Algebra Level 3

$\large \sum_{k=1}^{2016}x^k=\frac{x-2016}{1-x}$

If the real root of the equation above is of the form $$\large \sqrt[a]{b}$$, where $$a$$ and $$b$$ are positive integers with $$a$$ minimized, find $$a+b$$.

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