The image asks to determine the ratio of the given geometric sequence:

$\frac{1}{8}, \frac{1}{4}, \frac{1}{2}, \dots$

To find the common ratio $r$ in a geometric sequence, we divide a term by its preceding term. Taking the second and first terms:

$r = \frac{\frac{1}{4}}{\frac{1}{8}} = \frac{1}{4} \times \frac{8}{1} = 2$

Thus, the common ratio $r$ of the geometric sequence is $2$.

Would you like further details on geometric sequences or have any other questions?

Here are five related questions to deepen your understanding:

1. How do you find the nth term of a geometric sequence?
2. What is the sum of an infinite geometric series if $r < 1$?
3. How do you differentiate between geometric and arithmetic sequences?
4. Can a geometric sequence have a negative common ratio?
5. What is the formula for the sum of the first n terms of a geometric series?

Tip: In any geometric progression, multiplying any term by the ratio gives the next term.