Answer:
[tex]a_{7}=\frac{256}{729}[/tex] or [tex]a_{7}=0.35[/tex]
Step-by-step explanation:
[tex]a_{n} =a_{1}* r^{n-1}[/tex]
[tex]a_{7}=4*\frac{2}{3}^{7-1}[/tex]
[tex]a_{7}=4*\frac{2}{3}^{6}[/tex]
[tex]a_{7}=4*\frac{64}{729}[/tex]
[tex]a_{7}=\frac{256}{729}[/tex]
or
[tex]a_{7}=0.35[/tex]
