# Can you find the next number in the following series? 14, 1, 13, 0, 23, 21,?

Replace the question mark with the next number:

14, 1, 13, 0, 23, 21, ?

• Every time I see numbers in the range of [0--25] or [1-26]ish I think of the alphabet. And once I do, I have a hard time scrubbing that from me addled mind... Commented Aug 18, 2019 at 15:40
• Not on OEIS Commented Aug 18, 2019 at 17:54

44

As,

Around zero(the central number, around which the remaining 6 numbers are dispersed), the spreading -out differences form a sequence of an arithmetic progression with a common difference of 10. So the ? should be 44

For,

(23 - 13), (21 - 1), ( ? - 14) forming A.P. and thereby giving ? = 44.

• Why would the setter choose (13,23) instead of say (17,27)?
– JMP
Commented Aug 18, 2019 at 15:53
• @JonMark Perry - well, that may optionally be checked with the problem setter. :D Commented Aug 18, 2019 at 17:12
• Or anything else..? Obviously ..good question
– user60738
Commented Aug 21, 2019 at 20:43