MathDB
Inequality

Source: 1989 National High School Mathematics League, Exam One, Problem 13

February 25, 2020
inequalities

Problem Statement

a1,a2,⋯ ,ana_1,a_2,\cdots,a_n are positive numbers, satisfying that a1a2⋯an=1a_1a_2\cdots a_n=1. Prove that (2+a1)(2+a2)⋯(2+an)≥3n(2+a_1)(2+a_2)\cdots(2+a_n)\geq3^n
Back to ProblemsView on AoPS