Difference between revisions of "2002 AIME I Problems/Problem 12"

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== See also ==
 
== See also ==
* [[2002 AIME I Problems/Problem 11| Previous problem]]
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{{AIME box|year=2002|n=I|num-b=11|num-a=13}}
 
 
* [[2002 AIME I Problems/Problem 13| Next problem]]
 
 
 
* [[2002 AIME I Problems]]
 

Revision as of 14:14, 25 November 2007

Problem

Let $F(z)=\dfrac{z+1}{z-1}$ for all complex numbers $z\neq 1$, and let $z_n=F(z_{n-1})$ for all positive integers $n$. Given that $z_0=\dfrac{1}{137}+i$ and $z_{2002}=a+bi$, where $a$ and $b$ are real numbers, find $a+b$.

Solution

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See also

2002 AIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 11
Followed by
Problem 13
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All AIME Problems and Solutions