Final answer:
The common difference in the arithmetic sequence -2, -5, -8, -11, ... is -3. The next three terms of the sequence are -14, -17, and -20.
Step-by-step explanation:
To identify the common difference of the arithmetic sequence -2, -5, -8, -11, ..., we look at the difference between consecutive terms. Here we see that each term is 3 less than the previous one. The common difference is -3.
The next three terms can be found by subtracting 3 from the last given term sequentially. Thus, the following terms would be:
- -11 - 3 = -14
- -14 - 3 = -17
- -17 - 3 = -20
The next three terms in the sequence are -14, -17, and -20.