Final answer:
The series is an arithmetic sequence with a common difference of 6. Adding 6 to the last term (11) gives us the next term in the series, which is 17, matching option 3).
Step-by-step explanation:
The question is a mathematical sequence problem, where the student is given a series of numbers and asked to choose the next most logical number. The series is –-13, -7, -1, 5, 11. To solve this, we look for a pattern: the difference between consecutive terms. The differences are:
- –-7 – (–-13) = 6
- –-1 – (–-7) = 6
- 5 – (–-1) = 6
- 11 – 5 = 6
It is clear that this is an arithmetic sequence with a common difference of 6. Hence, to find the next term, we add 6 to the last term:
11 + 6 = 17
Therefore, the next number in the series is 17, which corresponds to option 3).