MathDB
JBMO Shortlist 2023 A6

Source: JBMO Shortlist 2023, A6

June 28, 2024
SequenceinequalitiesJBMOJBMO Shortlistalgebra

Problem Statement

Find the maximum constant CC such that, whenever {an}n=1∞\{a_n \}_{n=1}^{\infty} is a sequence of positive real numbers satisfying an+1−an=an(an+1)(an+2)a_{n+1}-a_n=a_n(a_n+1)(a_n+2), we have
a2023−a2020a2022−a2021>C.\frac{a_{2023}-a_{2020}}{a_{2022}-a_{2021}}>C.
Back to ProblemsView on AoPS