Difference between revisions of "2005 AMC 12B Problems/Problem 22"
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Revision as of 17:42, 22 February 2010
Problem
A sequence of complex numbers 
is defined by the rule
![\[z_{n+1} = \frac {iz_{n}}{\overline {z_{n}}},\]](http://latex.artofproblemsolving.com/5/6/1/5615d4f35b70105ed92f07cc305ec89d9a9cdd96.png)
where 
is the complex conjugate of 
and 
. Suppose that 
and 
. How many possible values are there for 
?
Solution
See Also
| 2005 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 21 |
Followed by Problem 23 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
