answersLogoWhite

0

There are infinitely many polynomials of order 5 that will give these as the first five numbers and any one of these could be "the" rule. Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one. And each one of these polynomials will give a different number as the next.

So, any number that you choose can be the next number.

The simplest solution, based on a polynomial of order 4, is

U(n) = (7*n^4 - 98*n^3 + 497*n^2 - 1078*n + 840)/24.

User Avatar

Wiki User

9y ago

What else can I help you with?