It depends on which number you would like to be the next in the sequence. Choose any real number and it is possible to find a polynomial of degree 6 that will generate the above six numbers and the selected seventh.
Using a polynomial of degree 5:
Un = (44n5 - 695n4 + 4130n3 - 11305n2 + 14066n - 6120)/60 for n = 1, 2, 3, ...
forces the next number to be 430.
It depends on which number you would like to be the next in the sequence. Choose any real number and it is possible to find a polynomial of degree 6 that will generate the above six numbers and the selected seventh.
Using a polynomial of degree 5:
Un = (44n5 - 695n4 + 4130n3 - 11305n2 + 14066n - 6120)/60 for n = 1, 2, 3, ...
forces the next number to be 430.
It depends on which number you would like to be the next in the sequence. Choose any real number and it is possible to find a polynomial of degree 6 that will generate the above six numbers and the selected seventh.
Using a polynomial of degree 5:
Un = (44n5 - 695n4 + 4130n3 - 11305n2 + 14066n - 6120)/60 for n = 1, 2, 3, ...
forces the next number to be 430.
It depends on which number you would like to be the next in the sequence. Choose any real number and it is possible to find a polynomial of degree 6 that will generate the above six numbers and the selected seventh.
Using a polynomial of degree 5:
Un = (44n5 - 695n4 + 4130n3 - 11305n2 + 14066n - 6120)/60 for n = 1, 2, 3, ...
forces the next number to be 430.
24
14, 15, 14 It is the percentage of prime numbers in each ascending group of 100 numbers.
12
33
The series 1318162119 appears to be a sequence where each number is formed by concatenating the first few even numbers. The pattern is: 2 (2), 4 (4), 6 (6), 8 (8), 10 (10), 12 (12), 14 (14), and 16 (16). Following this pattern, the next even number is 18, which would be represented as "18" in the series. Thus, the next number in the series is 20, resulting in the next sequence being 131816211920.
24
16.
14, 15, 14 It is the percentage of prime numbers in each ascending group of 100 numbers.
12
24
12
11223344
. 16
33
16
16
21 - each number in the series increases by the series 1,2,3,4,5.... Whereby 6 and 7 are separated by 1, 7 and 9 are separated by 2, 9 and 12 are separated by 3, 12 and 16 are separated by 4, so the next in the series would be 21 (16 and 21 are separated by 5).