The simplest polynomial, of an infinite number of possible solutions, is
Un = (-2n3 + 12n2 - 7n + 6)/3
Un = 5n - 2
I suspect that the first term should be "negative 3", ie the sequence is -3, 1, 5, 9, 13, 17, ... The nth term is 4n - 7
The nth term is 2 + 3n.
The nth term is 4n - 3
It is: 10n-7 and so the next term is 43
It is: 5n+3 and so the next term is 28
The differences are 3, 5, 7, 9,11, ... and the first term is -1; the nth term is: n² - 2
The nth term of a sequence is the general formula for a sequence. The nth term of this particular sequence would be n+3. This is because each step in the sequence is plus 3 higher than the previous step.
The nth term is: 5-2n
2n + 1
x2-3=n
Nth term With the nth term you substitute the n for the term number (e.g. 50) so the 50th term in 2n+3 would be 2x50+3=103