Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 5"
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| − | Given that <math>\displaystyle iz^2=1+\frac 2z + \frac{3}{z^2}+\frac{4}{z ^3}+\frac{5}{z^4}+\cdots</math> and <math>\displaystyle z= | + | ==Problem== |
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| + | Given that <math>\displaystyle iz^2=1+\frac 2z + \frac{3}{z^2}+\frac{4}{z ^3}+\frac{5}{z^4}+\cdots</math> and <math>\displaystyle z=n\pm \sqrt{-i},</math> find <math>\displaystyle \lfloor 100n \rfloor.</math> | ||
Revision as of 12:05, 25 July 2006
Problem
Given that 
and 
find 
