Find the common difference in the arithmetic sequence: 2, 5, 8, 11.

Study for the Accuplacer Advanced Algebra and Functions Test. Use flashcards and multiple choice questions, each question offers hints and explanations. Ace your exam preparation!

In an arithmetic sequence, the common difference is found by subtracting any term from the subsequent term. In the given sequence, the difference between the first two terms can be calculated as follows:

Subtracting the first term (2) from the second term (5) gives us 5 - 2 = 3.

Next, if we check the difference between the second term (5) and the third term (8), we get 8 - 5 = 3.

Finally, looking at the difference between the third term (8) and the fourth term (11) also results in 11 - 8 = 3.

Since the difference remains constant at 3 throughout the sequence, this confirms that the common difference is indeed 3. Understanding this concept is crucial when working with arithmetic sequences, as identifying the common difference allows for the prediction of future terms and understanding the structure of the sequence.

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