On the recursive sequence x n+1 =frac x n−14 1− x n−2 x n−5 x n−8 x n−11

Abstract

In this paper, given solutions fort he following difference equation $x_{n+1}=\frac{x_{n-14}}{1-x_{n-2} x_{n-5} x_{n-8} x_{n-11}}$ , n ? ? where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. We investigate periodic behavior of this equation. Also some numerical examples and graphs of solutions are given.