https://file.aiquickdraw.com/mathbot/file/17264382484867vdw4wn0.jpg

The sequence in the image is as follows:

\[
\_,\_, 36, -108, \_
\]

This appears to be a geometric sequence where each term is multiplied by a constant ratio to get the next term.

To confirm, let's check the ratio between the known terms \( 36 \) and \( -108 \). 

\[
\frac{-108}{36} = -3
\]

Thus, the common ratio is \(-3\). Now, let's calculate the missing terms:

1. The term after \(-108\) can be found by multiplying \(-108\) by \(-3\):

\[
-108 \times (-3) = 324
\]

2. The term before \(36\) can be found by dividing \(36\) by \(-3\):

\[
\frac{36}{-3} = -12
\]

3. The term before \(-12\) can be found by dividing \(-12\) by \(-3\):

\[
\frac{-12}{-3} = 4
\]

Thus, the complete sequence is:

\[
4, -12, 36, -108, 324
\]

Would you like more details or have any questions? Here are some related questions to consider:

1. What is a geometric sequence, and how is it different from an arithmetic sequence?
2. How do you identify the common ratio in a geometric progression?
3. What happens if the common ratio is negative in a geometric sequence?
4. Can a geometric sequence have a common ratio of zero?
5. How do you sum a finite geometric series?

**Tip:** In geometric sequences, multiplying or dividing by a constant helps identify the next or previous term based on the common ratio.

Find the missing terms in the sequence: __, __, 36, -108, __

Solve the geometric sequence by identifying the common ratio and calculating the missing terms. This problem uses concepts from geometric progressions and includes step-by-step solutions for grades 7-9 students.

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