Question

Identify the recursive rule for the sequence: 4, 13, 22, 31, 40, 49

Answer 1

a(n+1) = a(n) + 9

Explanation:

The terms just before and just after each are 9 more than the previous term or 9 less than the previous term. In other words, the common difference is 9.

Thus, the recursive formula is a(n+1) = a(n) + 9

Answer 2

Answer:9

Step-by-step explanation: 4+9=13, 13+9=22, 22+9=31, 31+9=40, 40+9=49.

As you can see, 9 is being added so the answer is 9