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.

The query submitted by the user: 2,10,12,28,35

Analyze the sequence 2, 10, 12, 28, 35 by exploring differences between consecutive terms and other potential patterns. This problem involves key concepts of sequence analysis, making it suitable for students in Grades 8-10.

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