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.