What will be the next term in the arithmetic sequence: 2, 5, 8, 11?

What will be the next term in the arithmetic sequence: 2, 5, 8, 11?

• A. 12
• B. 13
• C. 14
• D. 15

Answer: (C)

To find the next term in the arithmetic sequence of 2, 5, 8, 11, it's crucial to identify the common difference between consecutive terms. In this sequence, each term is obtained by adding 3 to the previous term: - From 2 to 5: 5 - 2 = 3 - From 5 to 8: 8 - 5 = 3 - From 8 to 11: 11 - 8 = 3 Since the common difference is consistent at 3, to find the next term after 11, you simply add this common difference to the last term: 11 + 3 = 14 Thus, the next term in the sequence is 14. This demonstrates how arithmetic sequences work, where each term is generated by adding a fixed amount to the preceding term.

To find the next term in the arithmetic sequence of 2, 5, 8, 11, it's crucial to identify the common difference between consecutive terms. In this sequence, each term is obtained by adding 3 to the previous term:

• From 2 to 5: 5 - 2 = 3

• From 5 to 8: 8 - 5 = 3

• From 8 to 11: 11 - 8 = 3

Since the common difference is consistent at 3, to find the next term after 11, you simply add this common difference to the last term:

11 + 3 = 14

Thus, the next term in the sequence is 14. This demonstrates how arithmetic sequences work, where each term is generated by adding a fixed amount to the preceding term.