Difference between revisions of "2022 USAJMO Problems/Problem 6"
(Created page with "==Problem== Let <math>a_0,b_0,c_0</math> be complex numbers, and define <cmath>a_{n+1}=a_n^2+2b_nc_n</cmath> <cmath>b_{n+1}=b_n^2+2c_na_n</cmath> <cmath>c_{n+1}=c_n^2+2a_nb_n...") |
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Revision as of 20:37, 19 April 2022
Problem
Let be complex numbers, and define
for all nonnegative integers
.
Suppose that for all
. Prove that