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Given any number it is easy to find a rule based on a polynomial of order 4 such that the first four numbers are as listed in the question and the next is the given number. There are also non-polynomial solutions.
The simplest solution, in the form of a polynomial of order 3 is
Un = (3469n3 - 20661n2 + 37712n - 20346)/6 for n = 1, 2, 3, ... and accordingly, the next number is 14219.
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What is the next number in sequence 3 10 29 66?
127.
What is the next number in this sequence 16 21 22 29?
16 21 22 29
What is the next number in the sequence 1-2-5-10-13-26-29?
58
What is the next number in the sequence 4 7 11 18 29?
47 4+7 = 11 7+11 = 18 11+18=29 18+29=47
What is the next number in the sequence -47 -41 -35?
-47, -41, -35, -29, -23, -17, -11, -5, 1, etc.
What is the next number in sequence 3 10 29 66?
127.
What is the next number in this sequence 16 21 22 29?
16 21 22 29
What number comes next in this sequence 1 3 6 11 18 29?
42 is the next number in this sequence. This number sequence is adding the next prime number to the last number. So 1 + 2 = 3. Then 3 + 3 = 6, 6 + 5 = 11, 11 + 7 = 18, 18 + 11 = 29. The next prime number after 11 is 13, so 29 + 13 = 42. The next numbers would be 59 (42+17), 78 (59+19), and 101 (78+23)
What is the next number in the series 18 29 38 32 35 18?
29, assuming it is an algebraically reclusive sequence.
What is the next number in the sequence 29 11 31 4 33?
One possibility: -3
What is the next number in the sequence 1-2-5-10-13-26-29?
58
What number is next in the following sequence 32 31 29 26 22?
21
What is the next number in the sequence 4 7 11 18 29?
47 4+7 = 11 7+11 = 18 11+18=29 18+29=47
What is the next number in the sequence -47 -41 -35?
-47, -41, -35, -29, -23, -17, -11, -5, 1, etc.
What is the next number in sequence 16 26 21 31?
assuming it keeps the same pattern of +10 -5 alternating then the next number would be 26
What number comes next in the following sequence 2 3 5 7 11?
These are just the first prime numbers. The next few are 13, 17, 19, 23, 29, 31...
What is the next number in the sequence 7 16 8 27 9?
This appears to be two interwoven sequences. The first sequence, increases by 9 then 19......7 + 9 = 16........8 + 19 = 27 The second sequence decreases by 8 then 18....16 - 8 = 8........27 - 9 = 18 The next number would thus be 9 + 29 = 38.
