Find the next term in the arithmetic sequence: 2, 5, 8, 11.

Find the next term in the arithmetic sequence: 2, 5, 8, 11.

• A. 12
• B. 14
• C. 16
• D. 15

Answer: (B)

To determine the next term in the arithmetic sequence 2, 5, 8, 11, it's important to first recognize the pattern in how the terms are generated. An arithmetic sequence is characterized by a common difference between consecutive terms. In this sequence: - The difference between the first and second terms (5 - 2) is 3. - The difference between the second and third terms (8 - 5) is also 3. - The difference between the third and fourth terms (11 - 8) continues this pattern with 3. Since the common difference is 3, we can simply add this difference to the last term, which is 11, to find the next term. Calculating this gives: 11 + 3 = 14. Thus, the next term in the sequence is 14, and that is why this option is the correct answer.

To determine the next term in the arithmetic sequence 2, 5, 8, 11, it's important to first recognize the pattern in how the terms are generated. An arithmetic sequence is characterized by a common difference between consecutive terms.

In this sequence:

• The difference between the first and second terms (5 - 2) is 3.

• The difference between the second and third terms (8 - 5) is also 3.

• The difference between the third and fourth terms (11 - 8) continues this pattern with 3.

Since the common difference is 3, we can simply add this difference to the last term, which is 11, to find the next term.

Calculating this gives:

11 + 3 = 14.

Thus, the next term in the sequence is 14, and that is why this option is the correct answer.