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 \(n \ge 3\) and socle degree \(s=3\) is Koszul. We prove that a generic Artinian Gorenstein algebra with \(n\ge 4\) and \(s \ge 3 \) has rate \(\left\lfloor \frac{s}{2} \right\rfloor .\) In the process we show that such an algebra is generated in degree \(\left\lfloor \frac{s}{2} \right\rfloor +1.\) 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.
