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It continues: 2, 9, 5, 13, 10, 19, 17, 27, 26, 37, 37, 49, 50, 63, 65, 79, 82, ...

The sequence consists of terms taken alternately from 2 sequences:

- 2, 5, 10, 17, 26, 37, 50, 65, 82, ... which starts at 2 and the difference between each term increases by 2, starting with a difference of 3;
- 9, 13, 19, 27, 37, 49, 63, 79, ... which starts at 9 and the difference between each term increases by 2, starting with a difference of 4.

Together these provide a sequence where the difference between the terms alternates between two sequences that increase by 1 each time: one sequence is +7, +8, +9, +10, +11, +12, +13, ... and the other is -4, -3, -2, -1, 0, +1, +2, ..., ie the differences between the terms are +7, -4, +8, -3, +9, -2, +10, -1, +11, 0, +12, +1, +13, +2, ...

Q: Complete this sequence 2 9 5 13 10 19 17?

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2 9 5 13 10 19 17

27

27 BUT, as far as I can tell, it does not complete the sequence which can continue further.

One.

27. But that continues the sequence, it does not complete it.

2 5 9 10 13 17 19

that best completes the sequence 2 9 5 13 10 19 17 is 27.

18

The next number in the sequence is 27.

The number after 17 is 27. 2+7 = 9 9 - 4 = 5 5 + 8 = 13 13 - 3 = 10 10 + 9 = 19 19 - 2 = 17 17 + 10 = 27

27

twenty-seven.