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!