Problem

Source: Peru National Olympiad 2021 #1

Tags: combinatorics, algebra



a) Determine if it's possible write $6$ positive rational numbers, pairwise distinct, in a circle such that each one is equal to the product of your neighbor numbers. b) Determine if it's possible write $8$ positive rational numbers, pairwise distinct, in a circle such that each one is equal to the product of your neighbor numbers.