Write the recursive rule for the sequence:
2, 9, 16, 23, 30,…
question 1 options:
an=an−1+7, a1=2
an=an−1−7, a1=2
an=an−1+2, a1=7
an=an−1+2, a1=−7

A formula is recursive if it expresses the term in terms of the previous one(s)

In this case, every term is 7 more than the previous one, so the formula for will only involve :

In fact, this formula is simply saying: for every index , the term with that index is 7 more than the term before.

Also, we have to specify the starting point (otherwise we would go backwards indefinitely), so the complete recursive formula is

which means: start with 2 and generate every other term by adding 7 to the previous one.