MathDB
Ratio of two products

Source: Caucasus MO 2024, Juniors P5

March 15, 2024
algebra

Problem Statement

Alex calculated the value of function f(n)=n2+n+1f(n) = n^2 + n + 1 for each integer from 11 to 100100. Marina calculated the value of function g(n)=n2āˆ’n+1g(n) = n^2-n+1 for the same numbers. Who of them has greater product of values and what is their ratio?
Back to ProblemsView on AoPS