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Identify the common difference AND find the next three terms of each

arithmetic sequence. -2, -5, -8, -11, ...

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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.

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