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June 19th, 2015, 03:32 PM   #1
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Sequence of numbers

What number is next in the sequence? 11, 13, 22, 26, 41, 68....

Last edited by skipjack; June 19th, 2015 at 07:10 PM.
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June 19th, 2015, 04:05 PM   #2
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70
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June 19th, 2015, 04:06 PM   #3
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50, if you assume it's a fifth-degree polynomial.
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June 20th, 2015, 03:14 AM   #4
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Assume as follows.

difference as 2 , 9, 4 , 15 (2+9+4) , 27 , 8
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June 20th, 2015, 05:25 AM   #5
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The point is that, given any finite number of terms of a sequence, there exist an infinite number of "formulas" that will give exactly those terms and then any number you like as the next. Typically, problems like this intend the "simplest" such formula but there is no objective criterion for "simplest".
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