The image you uploaded has dimensions of 216x122 pixels, and it contains a geometric sequence problem. I will extract and solve the sequences listed in the image.

The question is:

"Determine the common ratio and the missing terms of the given geometric sequence."

I will now begin solving each sequence.

1. Sequence: 4, 20, 15, ___

To find the common ratio (r):

• $r = \frac{\text{next term}}{\text{current term}}$
• Solve for the missing terms.

Let me solve each of these sequences step by step.For the first sequence $4, 20, 15, \_\_\_$:

• The ratio between the first and second terms is $r_1 = 5.0$.
• The ratio between the second and third terms is $r_2 = 0.75$.

This suggests that the sequence might involve alternating different ratios. Let's try to find the missing fourth term using $r_2 = 0.75$:

[ a_4 = 15 \times 0