answersLogoWhite

0

Given any number it is easy to find a rule based on a polynomial of order 6 such that the first six numbers are as listed in the question and the next is the given number. There are also non-polynomial solutions.

The simplest rule, based on a polynomial of order 5, is

Un = (-4n5 + 75n4 - 510n3 + 1665n2 - 2306n + 1440)/120 for n = 1, 2, 3, ...

Another possibility is a Fibonacci-like sequence with

U1 = 3, U2 = 4 and Un+2 = Un + Un+1 for n = 1, 2, 3, ...

User Avatar

Wiki User

11y ago

What else can I help you with?