2
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38, 104, ?, 1358

Kudos to anyone who can solve it as it is fairly difficult puzzle.

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8
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    $\begingroup$ There could be multiple sequences with these numbers in them. $\endgroup$
    – Someone
    Commented Sep 25 at 12:41
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    $\begingroup$ That's a very short list...any chance of extending it? $\endgroup$
    – lulu
    Commented Sep 25 at 13:56
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    $\begingroup$ No, I can't. Try to find a pattern $\endgroup$ Commented Sep 25 at 14:22
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    $\begingroup$ @Someone such as? It's unlikely that you will find one with any sort of meaningful "rule" that isn't what OP had in mind. $\endgroup$ Commented Sep 25 at 21:12
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    $\begingroup$ 38 = 5^2 + 3^2 + 2^2, 104 = 8^2 + 6^2 + 2^2, 1358 = 27^2 + 25^2 + 2^2 $\endgroup$
    – Alto
    Commented Sep 27 at 16:56

1 Answer 1

0
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maybe the answer is: 496.192307692,

obtained by 1358*38/104, so the ratio between numbers in even positions is the same between numbers in odd positions,

example 1358/104= 496.19.../38;

also the ratio between 104/38 = the ratio between 1358/496.19....

also 1358*496.19.../104= 6479.12... so the ratio between 496.19.../104= 6479.12/1358.

we have the fomrula abab example 104/38, 496.19../104, 1358/496.19..., 6479.12/1358

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