geometric sequence
[tex]\tt U_n=ar^{n-1}[/tex]
a = 6 = first term
r = ratio = [tex]\tt \dfrac{9}{6}[/tex]
the 6th term (n=6)
[tex]\tt U_6=6\times (\dfrac{9}{6})^{6-1}\\\\U_6=6\times \dfrac{9}{6}^5\\\\U_6=\dfrac{9^5}{6^4}=45.5625\rightarrow rounded~to nearest~thousandth=45.563[/tex]
