4
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Replace the question mark with the next number.

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

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2
  • 1
    $\begingroup$ 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... $\endgroup$ Aug 18 '19 at 15:40
  • 1
    $\begingroup$ Not on OEIS $\endgroup$
    – Fabich
    Aug 18 '19 at 17:54
3
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One answer could be

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.

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3
  • $\begingroup$ Why would the setter choose (13,23) instead of say (17,27)? $\endgroup$
    – JMP
    Aug 18 '19 at 15:53
  • 1
    $\begingroup$ @JonMark Perry - well, that may optionally be checked with the problem setter. :D $\endgroup$ Aug 18 '19 at 17:12
  • $\begingroup$ Or anything else..? Obviously ..good question $\endgroup$
    – user60738
    Aug 21 '19 at 20:43

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