Answer:
The correct answer option is A. [tex]\frac{1}{16}[/tex].
Step-by-step explanation:
We are given the following geometric sequence and we are to find its 8th term:
[tex]1024, 256,64,...[/tex]
Here [tex]a_1=1024[/tex] and common ratio [tex](r) = \frac{64}{256} =0.25[/tex].
The formula we will use to find the 8th term is:
nth term = [tex]a_1 \times r^{(n-1)}[/tex]
Substituting the values in the formula to get:
8th term = [tex]1024 \times 0.25^{(8-1)}[/tex]
8th term = [tex] \frac { 1 } { 1 6 } [/tex]
