CentroAmerican 2015 #1
Source: 2015 CentroAmerican Math Olympiad #1
June 27, 2015
OMCCcombinatorics
Problem Statement
We wish to write distinct real numbers 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 such that this is possible.