In this paper, we investigate the behavior of solutions of the difference equation $$x_{n+1}=frac{a+x_{n-1}x_{n-k}}{x_{n-1}+x_{n-k}},;n=0,1,2,{ldots}$$ where $k{in}{1,2}$, $a{geq}0$, and $x_{-j}$ > 0, $j=0,1,{ldots},k$.