answersLogoWhite

0

Any number that you choose can be the next 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 followed by the chosen next number. There are also non-polynomial solutions. 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.

In this particular example, the simplest solution, based on a polynomial or order 5, is

t(n) = (6n^5 - 125n^4 + 920n^3 - 2995n^2 + 4474n - 2280)/120 for n = 1, 2, 3, ...

and, accordingly, the next term is -12.

User Avatar

Wiki User

10y ago

Still curious? Ask our experts.

Chat with our AI personalities

SteveSteve
Knowledge is a journey, you know? We'll get there.
Chat with Steve
TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga
ReneRene
Change my mind. I dare you.
Chat with Rene

Add your answer:

Earn +20 pts
Q: What comes next after 0 2 3 6 7 1?
Write your answer...
Submit
Still have questions?
magnify glass
imp