This paper examines certain cases about the periodic character of the positive solution to the given difference equation ${y_{n+1}}=\frac{{%
\alpha_{1} {y_{n-m}+{\alpha_{2} {y_{n-k}}}+\alpha_{3} {y_{n-q}{+\alpha_{4} {y_{n-l}}}}+}}\alpha_{5} {{y_{n}}}}{{\beta
+\gamma {y_{n-k}}{y_{n-l}}\left( {{y_{n-k}}+{y_{n-l}}}\right) }}$
, $%
n=0,1,2,\ldots$ where the parameters $\alpha_{1} ,\alpha_{2} ,\alpha_{3} ,\alpha_{4} ,\alpha_{5} ,{\beta },{%
\gamma }\in (0,\infty )$, while $m,k,q,l$ are positive integers, such that $%
m