Recursive rule for an arithmetic sequence is a1=-3; an=an-1+7.

What is the iterative rule for this sequence?

an = 7n - 10

Step-by-step explanation:

In general, the iterative rule for an arithmetic sequence with first term a1 and common difference d is ...

... an = a1 + (n-1) d

Your sequence has a1 = - 3, and d = 7, so the rule can be written ...

... an = - 3 + 7 (n - 1)

and simplified to ...

... an = 7n - 10