What os the nth term for : - 6,-1,4,9,14

To find the nth term of a sequence, you first want to find the term to term difference.

-6, - 1, 4, 9, 14

+5 + 5 + 5 + 5

The term to term difference is the coefficient of n

5n

Now, we write out the sequence of 5n and work out the difference between the new sequence and the original

Always begin with n = 1

-6, - 1, 4, 9, 14,

- 5, 10, 15, 20, 25,

-11 - 11 - 11 - 11 - 11

The nth term is 5n - 11