Recursive and Non-recursive for 2, 7, 12, 17, 22, 27

Question

I think I have the recursive, which is t(1) = 2 and t(n) = t(n-1) + 5 but im unsure how to write non-recursive

Answer 1

Your recursive definition is correct.

Since the sequence is arithmetic, the formula to use for the non-recursive definition is:

t(n) = t(1) + (n-1)d, where d is the common difference

So, t(n) = 2 + 5(n - 1)

t(n) = 5n - 3