  We obtain solutions to the recursive sequences of the form $$x_{n + 1} =
\frac{x_{n - 3}x_{n }}{x_{n - 2}(a_n + b_nx_{n -3}x_{n})}$$ where $a_n$ and
$b_n$ are arbitrary sequences of real numbers, and the initial values are gives
as; $x_{-3},x_{-2}, x_{-1}$ and $x_{0}$. Our methodology is to employ a group
theoretic method which lowers the order of the equations, and then solve the
resulting lower order recurrence relations that arise therefrom.
