The sequence provided is 2, 15, 3, 11, 6, 7, 9, 3, 12. To identify the pattern, we can split it into two interleaved subsequences:
1. Odd-indexed terms (positions 1, 3, 5, 7, 9):
2, 3, 6, 9, 12
2. Even-indexed terms (positions 2, 4, 6, 8):
15, 11, 7, 3
Full sequence continuation:
After 12 (position 9), the next term (position 10) belongs to the even-indexed subsequence.
Next number in the sequence:
`-1`
Extended sequence:
2, 15, 3, 11, 6, 7, 9, 3, 12, -1, 15, -5, 18, -9, ...
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