The sequence you provided is: 2, 10, 12, 28, 35.

To analyze or extend it, let's first check if there is a discernible pattern. We can examine the differences between consecutive terms:

• 10 - 2 = 8
• 12 - 10 = 2
• 28 - 12 = 16
• 35 - 28 = 7

The differences are: 8, 2, 16, and 7, which don’t form a constant difference (as in an arithmetic sequence) or an easily recognizable ratio (as in a geometric sequence).

However, we might try some other techniques, such as checking if there’s any alternating pattern or a specific rule governing certain positions in the sequence.

Would you like me to explore more deeply to identify any potential rule or pattern, or extend the sequence further based on a hypothesis?

Related Questions:

1. Would you like me to check for other mathematical patterns, such as quadratic progressions?
2. Should I attempt fitting a polynomial to model the sequence?
3. Could this sequence be part of a real-world problem, and do you have context for it?
4. Would you like to explore a specific type of sequence (e.g., arithmetic, geometric)?
5. Do you have any constraints or further terms that might help clarify the sequence?

Tip:

Always check for common differences or ratios as the first step in identifying a sequence pattern.