Given data:
The given sequence is 4, 6, 9.
The common ratio of the given sequence is,
[tex]\begin{gathered} r=\frac{6}{4}=\frac{9}{6} \\ =\frac{3}{2} \end{gathered}[/tex]The expression for the 7th term is,
[tex]\begin{gathered} a_7=a(r)^6 \\ =(4)(\frac{3}{2})^6 \\ =\frac{4\times729}{64} \\ =\frac{729}{16} \end{gathered}[/tex]Thus, the 7th term is 729/16.
