Mock AIME 2 2006-2007 Problems/Problem 5

Problem

Given that $\displaystyle iz^2=1+\frac 2z + \frac{3}{z^2}+\frac{4}{z ^3}+\frac{5}{z^4}+\cdots$ and $\displaystyle z=n\pm \sqrt{-i},$ find $\displaystyle \lfloor 100n \rfloor.$

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Mock AIME 2 2006-2007

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Mock AIME 2 2006-2007 Problems/Problem 5

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