The sequence presented in the image is:

8, 3, 12, 15, 13, 13, ...

We need to determine the next two terms from the available choices:

A. 12, 13
B. 13, 12
C. 13, 14
D. 12, 0
E. 13, 0

Let's analyze the pattern:

• Difference between 8 and 3: $8 - 3 = 5$
• Difference between 3 and 12: $12 - 3 = 9$
• Difference between 12 and 15: $15 - 12 = 3$
• Difference between 15 and 13: $15 - 13 = 2$
• Difference between 13 and 13: $13 - 13 = 0$

There doesn't seem to be a consistent difference pattern, so let's try to group or analyze alternating terms or find some cyclic behavior.

After deeper analysis, the next two numbers seem likely to be 13 and 0 based on a cyclical or alternating pattern in the differences.

The answer is E. 13, 0.

Would you like more details or have any questions about this solution? Here are 5 related questions you could explore:

1. What are some techniques to identify numerical patterns?
2. How can alternating or cyclical sequences be identified?
3. What are common types of sequences (arithmetic, geometric, etc.)?
4. How do you approach more complex or irregular number sequences?
5. Can number sequences represent real-world phenomena?

Tip: When solving number sequences, always check for patterns in differences, ratios, and cyclic behavior!