1
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$$26\quad 28\quad 28\quad 30\quad 30\quad 28\quad 32\quad 30\quad ?\quad ?$$

If I consider the sequence of odd terms, then it follows increasing by $2$ each time. So the first missing term is $34$. Also if I consider the sequence of even terms then it oscillates, so the $2$nd missing term is $28$.

Am I correct? If I am, then I am looking for another beautiful logic.

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  • 1
    $\begingroup$ So you want us to find another possibility for this sequence? Shouldn't this be too broad? $\endgroup$ – NL628 Mar 11 '18 at 3:35
  • $\begingroup$ Yes, I want another possibility if my explanation is correct. $\endgroup$ – SAHEB PAL Mar 11 '18 at 3:36
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    $\begingroup$ To me, your explanation seems to be the clearest approach. I started mentally composing an answer after seeing the sequence until I read the exact same thing in your question! $\endgroup$ – Phylyp Mar 11 '18 at 4:18
  • $\begingroup$ Don't you mean the first missing term is $34$, since $32+2=34$? $\endgroup$ – boboquack Mar 11 '18 at 5:35
  • $\begingroup$ Yes.. I correct it. Thank you for mention it. $\endgroup$ – SAHEB PAL Mar 11 '18 at 5:46
4
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It could be

+2 +0 +2 +0 -2 +4 -2 +4 -6 +8 -6 +8 ....

Which would make the next few terms

34 and 28

But then again, I can think of many many other possibilities, implying that this puzzle is way too broad.

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