# Geometrically sound

Algebra Level 4

$\dfrac{3}{17}+\dfrac{33}{17^2}+\dfrac{333}{17^3}+ \dfrac{3333}{17^{4}}+\cdots$

If the value of the series above is in the form $$\dfrac{m}{n}$$, where $$m$$ and $$n$$ are coprime positive integers, find $$m+n$$.

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