Respuesta :
Answer:
B. 8, 4, 2, 1, 1/2, 1/4, . . .
Step-by-step explanation:
A geometric sequence or geometric progression is a sequence where each term after the first one can be found by multiplying a certain factor.
So, basically, to find the geometric sequence, we just need to divide the second term by the first term and observe if it results a constant factor.
By doing that, we observe that the second equence is a geometric sequence with a reasonf of 1/2, let's demonstrate it
[tex]8\times \frac{1}{2}= 4 (second \ term)\\4 \times \frac{1}{2}=2 (third \ term)\\ 2 \times \frac{1}{2}= 1 (fourth \ term)\\ 1 \times \frac{1}{2}= \frac{1}{2} (fiftg \ term)\\ \frac{1}{2} \times \frac{1}{2}= \frac{1}{4} (sixth \ term)[/tex]
As you can observe, we perfectly built the sequence is its ratio or factor.
Therefore, choice B is a geometric sequence.
