Sandy Wood
Brain Game: Not Twenty
by Sandy Wood - August 18, 2009 - 7:30 AM

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Enjoy today’s Brain Game, and good luck!

What’s the final number in this sequence?

3, 7, 10, 11, 12, ?

Here is the SOLUTION.
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Comments (15)
  1. Um, isn’t the solution 17 not 13?

  2. You totally lost me, Sandy. I gotta think more like you when trying to solve these things.
    BTW – @ Chris – Thirteen has an “I”.

  3. Not Chris’ fault, SJ; the original text of the answer spelled out “seventeen” but had “13″ as the number, and that was my keying error.

    And please don’t try to think like me. I wouldn’t wish that ability on my worst enemy.

  4. 3 + 7 = 10, 3 + 8 = 11, 3 + 9 = 12, so wouldn’t it make sense that 13 be the next number since 3 + 10 = 13?

  5. Good thought, Doug, but it doesn’t quite solve the puzzle.

    Using your formula, 13 could be the “next” number, yes, but we asked for the “final” number in the sequence. So the answer would be a single number that has something in common with the numbers already given.

    If you added 3+7, 3+8, 3+9 and 3+10, there’d be no reason not to continue with 3+11, 3+12 and so on.

  6. Good thought Sandy, but doesn’t “twenty” count? (Not treating ‘w’ and ‘y’ as pseudo-vowels.)

  7. Good thought, Jonathan. ;) I considered that, but “y” really is a vowel in both “twenty” and “seventy.”

    Besides, there was no way to say “we consider Y a vowel” in the preface without giving away the answer. I would have done so if it were possible!

  8. i’m slow, how and why is ‘y’ considered a vowel?

  9. @Doug- How does 7 fit in the list then? By your formula, it would go (3+0), (3+4), (3+7), etc. So there would be no formula.

    @Dillon- Think words like “my” and “sly”.

  10. What do you mean only numbers with e as the only vowel? What about Twenty? Twenty three etc.

  11. @Ethan, thanks I get the idea

  12. Ethan’s right. The rule of thumb is that vowels are “A, E, I, O, U, and sometimes Y.”

    In certain words, “y” is considered a vowel. The easiest way to tell is if the letter “y” makes a vowel sound in the word. In both “twenty” and “seventy,” the “y” sounds like an “e” – so in those words, “y” would be considered a vowel.

    In words like “yesterday,” where “y” does not make a vowel sound, it’s a consonant.

  13. The answer is 42.

    If x is a given number on the list, and y is the next consecutive number on the list, the numbers can be generated with the following polynomial formula:

    y = (1/5(x^5))-(23/8(x^4))+(187/12(x^3))-(321/8(x^2))+(3133/60x)-22

  14. The solution’s context had less to do with the mathematical relationship of the numbers and more to do with the vowel availability of the number’s text?

  15. I got schfourteen-teen

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