Conquer the College Math Placement Challenge 2025 – Step Up and Shine!

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What is the next term in the arithmetic sequence 2, 5, 8, 11, ...?

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14

To find the next term in the arithmetic sequence 2, 5, 8, 11, we first need to identify the pattern of the sequence.

In an arithmetic sequence, each term is obtained by adding a constant value to the previous term. To determine this constant, we can calculate the difference between consecutive terms:

- From 2 to 5, the difference is 5 - 2 = 3.

- From 5 to 8, the difference is 8 - 5 = 3.

- From 8 to 11, the difference is 11 - 8 = 3.

As we can see, the common difference is 3. Therefore, to find the next term after 11, we simply add this common difference to 11:

11 + 3 = 14.

Thus, the next term in the sequence is 14, confirming that it is the correct answer.

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