  The rate of a standard graded $K$-algebra $A$ is a measure of the growth of
the shifts in a minimal free resolution of $K$ as an $A$-module. In particular
$A$ has rate one if and only if it is Koszul. It is known that a generic
Artinian Gorenstein algebra of embedding dimension $n \geq 3$ and socle degree
$s=3$ is Koszul. We prove that a generic Artinian Gorenstein algebra with
$n\geq 4$ and $s \ge 3 $ has rate $ \lfloor \frac{s}{2} \rfloor. $ In the
process we show that such an algebra is generated in degree $\lfloor
\frac{s}{2} \rfloor +1. $ This gives a partial positive answer to a
longstanding conjecture stated by the first author on the minimal free
resolution of a generic Artinian Gorenstein ring of odd socle degree.
