2002 AIME I Problems/Problem 12

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

This problem needs a solution. If you have a solution for it, please help us out by adding it.

2002 AIME I (Problems • Answer Key • Resources)
Preceded by Problem 11	Followed by Problem 13
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15
All AIME Problems and Solutions

Page

Toolbox

Search

2002 AIME I Problems/Problem 12

Problem

Solution

See also