answersLogoWhite

0

Given any number it is easy to find a rule based on a polynomial of order 4 such that the first four numbers are as listed in the question and the tenth is the given number. That is, it is easy to find a rule so that any number can be the "tenth" in the sequence.

For example:

Un = (15n4 - 190n3 + 885n2 - 1430n + 840)/24 would give U10 = 1460

or

Un = (15n4 - 170n3 + 705n2 - 1090n + 600)/12 would give U10 = 3350

and so on.

The appropriate polynomial of order 3 is

Un = (-5n3 + 45n2 - 85n + 60)/3 according to which, U10 = 430.

User Avatar

Wiki User

11y ago

Still curious? Ask our experts.

Chat with our AI personalities

FranFran
I've made my fair share of mistakes, and if I can help you avoid a few, I'd sure like to try.
Chat with Fran
JordanJordan
Looking for a career mentor? I've seen my fair share of shake-ups.
Chat with Jordan
ProfessorProfessor
I will give you the most educated answer.
Chat with Professor

Add your answer:

Earn +20 pts
Q: What is the tenth number in this sequence5-10-25-40?
Write your answer...
Submit
Still have questions?
magnify glass
imp