Answer:
The correct answer option is B. [tex]1[/tex], [tex]\frac{1}{2}[/tex], [tex]\frac{1}{4}[/tex].
Step-by-step explanation:
We are given the following geometric sequence and we are to find its 8th term:
[tex]16, 8, 4, 2,...[/tex]
Here [tex]a_1=16[/tex] and common ratio [tex](r) = \frac{2}{4}=0.5[/tex].
The formula we will use to find the next three terms is:
nth term = [tex]a_1 \times r^{(n-1)}[/tex]
5th term = [tex]16 \times 0.5^{(5-1)} = 1[/tex]
6th term = [tex]16 \times 0.5^{(6-1)}[/tex] = [tex]\frac{1}{2}[/tex]
7th term = [tex]16 \times 0.5^{(7-1)}[/tex] = [tex]\frac{1}{4}[/tex]
