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Given a pattern: 12, 22, 35, 68, 15, 28, 31, $n$

Find the next item at $n$.

Pattern/sequence explanation required

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    $\begingroup$ I think this is a bit broad. You can answer any number, for example the solution of p(x)=(x-n)(x-12)(x-22)(x-35)... $\endgroup$ – leoll2 May 2 '15 at 11:56
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    $\begingroup$ Usually in puzzles like this, one expects a rule to generate the entire sequence, not one that describes only some of the values including missing value. $\endgroup$ – xnor May 3 '15 at 18:22
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Partial answer:

60

because

starting from the beginning, each even-indexed answer is (answer at index minus 1) * 2 - 2

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  • $\begingroup$ Perfect answer! $\endgroup$ – Zach Gates May 2 '15 at 20:28
  • $\begingroup$ Is there a rule for the odd-indexed values? $\endgroup$ – IanF1 May 3 '15 at 6:58

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