Answer:
[tex]a_9=48[/tex]
Step-by-step explanation:
we are given
sequence is geometric
so, we can use nth term formula
[tex]a_n=a_1(r)^{n-1}[/tex]
we have
[tex]a_1=3[/tex]
[tex]r=\sqrt{2}[/tex]
we have to find a9
so, we can plug n=9
we get
[tex]a_9=3(\sqrt{2})^{9-1}[/tex]
[tex]a_9=2^4\cdot \:3[/tex]
[tex]a_9=48[/tex]
