Resumen de Las sucesiones de Fibonacci, Lucas y Pell como casos particulares de la sucesión generalizada de Fibonacci

Sergio Falcón Santana , Ángel Plaza de la Hoz

• In this paper, we present a generalized Fibonacci sequence of integer numbers. Some of the basic properties are proven in an elementary way. Finally, Fibonacci, Lucas and Pell sequences are obtained by imposing particular initial conditions and particular coefficients in the generalized Fibonacci sequence.