The pattern is $x_{n} = (x_{n-1} + ext{constant}) imes ext{multiplier}$. Specifically: $(0+0.5) imes 1=0.5$; $(0.5+0.5) imes 2=2$; $(2+1) imes 3=9$; $(9+3) imes 4=48$; $(48+12) imes 5=300$. The next step is $(300+60) imes 6 = 2160$. The added value follows $0.5, 0.5, 1, 3, 12, 60$ (multiplied by $1, 2, 3, 4, 5$).