Problem for JEE Advanced

Algebra Level 3

Find the value of nn if z=n±iz=n\pm \sqrt{-i} satisfies the equation iz2=1+2z+3z2+4z3+...iz^{2}=1+\frac{2}{z}+\frac{3}{z^{2}}+\frac{4}{z^{3}}+...

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