  Our aim in this paper is to deal with the dynamics of following higher order
difference equation
  x_{n+1}=A+B((x_{n-m})/(x_{n}^2))
  where A,B>0, and initial values are positive, and m={1,2,...}. Furthermore,
we discuss the periodicity, boundedness, semi-cycles, global asymptotic
stability of solutions of these equations. We also handle the rate of
convergence of solutions of these difference equations.
