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It is possible to find a polynomial of order 7 that will fit the given numbers and any other number. Other functions are also possible.
The following polynomial, of order 6, fits them:
Un = (-5n6 + 114n5 - 1020n4 + 4540n3 - 10465n2 + 11696n - 4800)/60 for n = 1, 2, 3, etc.
With this rule, the next number is -160.
However, the answer that is most likely being sought is that the numbers in odd position are the counting numbers and the ones in even positions are their squares. With that rule, the next number would be 16.
Technically, any of these answers is correct. But you will only get marks for the last answer unless your teacher is a true mathematician.
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Which number is next in this sequence 1 1 2 3 5?
1+1=2 : 1+2=3 : 2+3=5 : 3+5=8Therefore the next number is 8
What comes next in this sequence 1 2 3 10?
456789
What is the next number in this sequence 1 -1-2-3-5-8-13?
21
What is the next number in the sequence 1 2 3 4 0 1 2 3 1 0 1?
12110 0r 1210
What number comes next 3 5 8 13?
3,5,8,13 is followed by 21. 1,1,2,3,5,8,13,21,34,55,... is the Fibonacci series or Fibonacci sequence where the next number in the sequence is the sum of the last two numbers (1+1=2, 1+2=3, 2+3=5, etc.)
