MathDB
Problems
Contests
International Contests
CentroAmerican
2015 CentroAmerican
Problem 1
Problem 1
Part of
2015 CentroAmerican
Problems
(1)
CentroAmerican 2015 #1
Source: 2015 CentroAmerican Math Olympiad #1
6/27/2015
We wish to write
n
n
n
distinct real numbers
(
n
≥
3
)
(n\geq3)
(
n
≥
3
)
on the circumference of a circle in such a way that each number is equal to the product of its immediate neighbors to the left and right. Determine all of the values of
n
n
n
such that this is possible.
OMCC
combinatorics