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.