Abstract
In this paper we study the boundedness, investigate the global convergence and the periodicity of the solutions to the following recursive sequence
x(n+1) = ax(n) + bx(n-1)(2) + cx(n-2)x(n-3)/dx(n-1)(2) + ex(n-2)x(n-3,) n=0,1 ...,
where the parameters a, b, c, d and e are positive real numbers and the initial conditions x-3, x-2, x-1 and x(0) is an element of (0, infinity). Also we give some numerical examples of some special cases of considered equation and presented some rleated graphs and figures using Matlab.