Question

What is a formula for the nth term of the given sequence?
-3, 5, 13...

Answer 1

`a_n=8n-11`

Explanation:

Each subsequent term increases by 8 and the first term is -3, so we can generate an arithmetic sequence to determine the nth term:

`a_n=a_1+(n-1)d\\a_n=-3+(n-1)(8)\\a_n=-3+8n-8\\a_n=8n-11`