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I have this sequence:

24, 63, 10, 48, 35, 72, 44....

The next number is

80.

How is this the correct answer?

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  • $\begingroup$ All of those are composite numbers: 4x6, 7x9, 2x5, 6x8, 5x7, 8x9, 4x11 (and also 8x10). That might have something to do with it. $\endgroup$ – Levieux Feb 13 '17 at 12:41
  • $\begingroup$ More than that: most of them are of the form n^2-1. 25, 64, 11, 49, 36, 73, 45, 81. $\endgroup$ – Gareth McCaughan Feb 13 '17 at 12:59
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One possible answer that works for finding the next number, but not the entire sequence is

The number sequence is generated in pairs with a descending sum
24 + 39 = 63
10 + 38 = 48
35 + 37 = 72

This would imply the next number in the sequence is

44 + 36 = 80

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