Answer:
The correct answer option is H. 4374.
Step-by-step explanation:
We are given the following geometric sequence and we are to find its 8th term:
[tex]\frac{2}{9}, \frac{2}{3}, 2,...[/tex]
Here [tex]a_1=\frac{2}{9}[/tex] and common ratio [tex](r) = \frac{\frac{2}{3} }{\frac{2}{9} } =3[/tex].
The formula we will use to find the 10th term is:
nth term = [tex]a_1 \times r^{(n-1)}[/tex]
Substituting the values in the formula to get:
10th term = [tex]\frac{2}{9} \times 3^{(10-1)}[/tex]
10th term = 4374
