102k views
4 votes
Erence and the next three terms. -10,-7,-4,-1,dots Common Difference: Next 3 Terms:

User RasmusKL
by
7.0k points

1 Answer

2 votes

Final answer:

The arithmetic sequence presented begins with -10 and increases by a common difference of 3. Therefore, the next three terms after -1 are 2, 5, and 8.

Step-by-step explanation:

Understanding Arithmetic Sequences

The sequence you have provided appears to be an arithmetic sequence since each term increases by a constant amount, known as the common difference. Given the sequence -10, -7, -4, -1, we can find the common difference by subtracting any term from the following term, for example, -7 - (-10) = 3. With the common difference being 3, we can predict the next three terms in the sequence.

To find the next term after -1, we add the common difference: -1 + 3 = 2. Continuing this pattern, the subsequent term would be 2 + 3 = 5, and the term after that would be 5 + 3 = 8.

Therefore, the next three terms in the arithmetic sequence are 2, 5, and 8.

User Jay Dhamsaniya
by
7.9k points