MathDB
x is rational iff x, x+1, ..., x+n, .. contains at least 3 terms in geom. progr

Source: Portugal OPM 1995 p6

May 18, 2024
rationalalgebrageometric progression

Problem Statement

Prove that a real number xx is rational if and only if the sequence x,x+1,x+2,x+3,...,x+n,...x, x+1, x+2, x+3, ..., x+n, ... contains, at least least three terms in geometric progression.
Back to ProblemsView on AoPS