https://file.aiquickdraw.com/mathbot/file/17258100960321qwco0fm.jpg

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.

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**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

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

Learn how to determine the common ratio and find missing terms in geometric sequences. This problem involves sequences such as 4, 20, 15, ___, with a step-by-step solution. Suitable for students in Grades 7-9, this guide covers the key concepts of geometric progressions.

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