Math Number Patterns

[john...@gmail.com]

1. 7, 28, 24, 45

2. 120 60 180 90 _____ _____ 405

[Proginoskes]

On Sep 20, 1:03 am, johnd...@gmail.com wrote:
> 1. 7, 28, 24, 45

Are we supposed to guess the next number, or what?

> 2. 120 60 180 90 _____ _____ 405

120 60 180 90 666 666 405. Obviously, the sequence is the polynomial

(2990160 - 6888924 x + 5902372 x^2 - 2446935 x^3 + 525955 x^4 - 56181
x^5 + 2353 x^6) / 240

evaluated at x=1, x=2, x=3, etc.

--- Christopher Heckman

P.S. There is no unique answer to problems like these.

[fernando revilla]

Proginoskes wrote:

> P.S. There is no unique answer to problems like
> these.

Even more, any number can be considered the next number,
it is sufficient to choose an adequate Lagrange interpolating
polynomial.

Fernando.