Global attractivity of the recursive sequencex_{n + 1} = frac{{alpha - beta x_{n - k} }}{{gamma + x_n }}

Our aim in this paper is to investigate the global attractivity of the recursive sequence $$x_{n + 1} = frac{{alpha - beta x_{n - k} }}{{gamma + x_n }},$$ where α, β, γ >0 andk=1,2,… We show that the positive equilibrium point of the equation is a global attractor with a basin that depends on certain conditions posed on the coefficients.