A certain arithmetic sequence has the recursive formula an = an-1 + d. If the common difference between the terms of the sequence is - 13, what term follows the term that has the value 13?

In an Arithmetic sequence, each term is obtained by adding the common difference in the previous term as shown in the recursive formula.

The common difference of the sequence is - 13. This means, if we - 13 to a term we'll obtain the next term.

If a term is 13, the term that will be next to 13 can be obtained by adding - 13 to it.

So,

13 + (-13) = 13 - 13 = 0

Thus, the next term will be 0.