What comes next in series 2 2 4 12 16 80?

Answer 1

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.

Answer 2

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.