sequence of areas of equilaterals whose perimeter is preceding term
Source: 2021 Irish Mathematical Olympiad P6
May 30, 2021
geometryEquilateralalgebraArithmetic Progression
Problem Statement
A sequence whose first term is positive has the property that any given term is the area of an equilateral triangle whose perimeter is the preceding term. If the first three terms form an arithmetic progression, determine all possible values of the first term.