# Quadratic or something else

Algebra Level 3

$iz^{2}=1+\frac{2}{z}+\frac{3}{z^{2}}+\frac{4}{z^{3}}+\frac{5}{z^{4}} + \ldots$

If $$z = n \pm \sqrt{-i}$$ satisfy the series above. Find the value of $$n$$.

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