In this sequence 7,9 7,13 1,2 what is the next possible 2 numbers in this sequence _,_? Can you give me 5 sets of  answers?

Let's analyze the sequence you provided: \(7, 9\), \(7, 13\), and \(1, 2\). There is no immediately obvious numerical or arithmetic progression, so this sequence could be non-arithmetic or follow a non-standard rule. Without a clear pattern, we can propose several plausible possibilities based on different assumptions.

Here are **five possible sets of next numbers**:

1. **Assume alternation between two sequences**:
   - One possibility is alternating between a sequence where the first number remains constant and the second increases (as in 7, 9 → 7, 13) and another where the first number changes while the second number decreases (as in 1, 2).
   - **Next pair**: \(1, 6\)

2. **Linear increase in second value, no clear rule for first**:
   - If the second number keeps increasing by 4 (9 → 13 → 17), while the first number alternates or fluctuates:
   - **Next pair**: \(7, 17\)

3. **First number decreases, second increases by 4**:
   - In this pattern, the first number could follow a decreasing sequence while the second increases by 4.
   - **Next pair**: \(0, 6\)

4. **Repetition of (7, _) and (1, 2)**:
   - Another possibility is that the sequence could return to a previous number pair or repeat every few steps.
   - **Next pair**: \(7, 2\)

5. **Constant difference between second elements**:
   - If the difference between the second numbers remains consistent, then after 2, the next second number might be:
   - **Next pair**: \(1, -2\)

These are a few interpretations based on different assumptions about how the sequence could evolve.

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Would you like further explanation on any of the possibilities? 

Here are **five relative questions**:
1. Could there be a geometric relationship between the numbers?
2. Is there a hidden rule relating the two numbers of each pair?
3. Could the sequence be alternating between two different patterns?
4. What happens if we consider non-integer numbers next?
5. Can the sequence be modeled as part of a larger equation?

**Tip**: When faced with sequences, always check for consistent differences or ratios between numbers as a starting point!

In this sequence 7,9 7,13 1,2 what is the next possible 2 numbers in this sequence _,_? Can you give me 5 sets of answers?

Explore possible next numbers in the sequence 7,9 7,13 1,2. This problem focuses on sequence patterns and introduces various plausible continuations, perfect for students in Grades 5-8.

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