Difference between revisions of "2001 IMO Shortlist Problems/N3"

(New page: == Problem == Let <math>a_1 = 11^{11}, \, a_2 = 12^{12}, \, a_3 = 13^{13}</math>, and <math>a_n = |a_{n - 1} - a_{n - 2}| + |a_{n - 2} - a_{n - 3}|, n \geq 4.</math> Determine <math>a_{14^...)
 
(No difference)

Latest revision as of 17:56, 20 August 2008

Problem

Let $a_1 = 11^{11}, \, a_2 = 12^{12}, \, a_3 = 13^{13}$, and $a_n = |a_{n - 1} - a_{n - 2}| + |a_{n - 2} - a_{n - 3}|, n \geq 4.$ Determine $a_{14^{14}}$.

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