Four Number Game

Introduction

The Four-Numbers game is a simple yet interesting problem that illustrates the fact that an elementary game relying only on basic arithmetic can exhibit complexity worthy of advanced analysis. Although the Four-Numbers game has been examined by many different people, the earliest record of the game is credited to E. Ducci of Italy in the late nineteenth century. Hence it is sometimes called a Ducci Sequence. The rules of the Four-Numbers game are very simple. In fact, the game can be enjoyed by elementary school math students and college students alike (Judith & Paul, 52). The most basic form ...