# Divided by three

Algebra Level 3

$\large \sqrt{3} + \frac{1}{ \sqrt{3} } + \frac{1}{3 \sqrt{3} } + \frac{1}{ 9 \sqrt{3} } + ......... = \frac{a \sqrt{b} }{ c }$

Where a and c are positive coprime integers and b is a square free integer.

Find $a + b + c$.

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