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Posted by on Monday, June 29, 2009 at 6:29am.

What is the next logical number in the following number sequence? and Why?
5, 8, 14, 26

  • math...number sequence - , Monday, June 29, 2009 at 6:53am

    Questions like this may contain multiple answers, as long as the explanation is logical. Here's one that comes to mind:

    Take the difference between the numbers and examine the generated sequence of three numbers:
    8-5=3
    14-8=6
    26-14=12
    It seems that the difference doubles every time, so the next differences are 24, 48, 96, ...
    Thus the continuation of the sequence is:
    5,8,14,26,50,98,194...
    where the difference doubles every time.

  • math...number sequence - , Monday, June 29, 2009 at 7:07am

    I thought 24 would be the next number in the sequence, but I am being given a list of numbers, one of which is the correct answer. The choices of the correct answer are:
    38, 40, 41, or 50

  • math...number sequence - , Monday, June 29, 2009 at 7:25am

    I understand it now.
    When the differences between the numbers doubles each time, then I add 24 to the final number of 26 = 50.
    Thanks so much for helping this
    mathematically challenged person!

  • math...number sequence - , Monday, March 29, 2010 at 12:21pm

    y=2x-2

    y=next number
    x=lastest number

  • math...number sequence - , Thursday, September 16, 2010 at 7:34pm

    1 2 3 4 5 6
    _______________________________________4 15 32 55 84 119

    find the 20th term for to this table.

  • math...number sequence - , Tuesday, September 28, 2010 at 7:08pm

    i need help with this partter
    n 1,2,5,7,11 give me numbers that follow the parttern

  • math...number sequence - , Tuesday, September 29, 2015 at 3:13pm

    What is the tru? 12,28,48 ar 16,32,48?

  • math...number sequence - , Wednesday, February 1, 2017 at 5:43am

    8,14,26,50

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