Abstract
We investigate the global convergence, boundedness, and periodicity of solutions of the recursive sequence x(n+1) = (ax(n-1) + bx(n-x))/(c + dx(n-1)x(n-k)), n = 0, 1, ... , where the parameters a, b, c, and d are positive real numbers, and the initial conditions x(-t), x(-t+1), ... , x(-1) and x(0) are positive real numbers where t = max{k,l}.