Which sequence is arithmetic?

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Prepare for the NES Elementary Education Test with flashcards and multiple-choice questions. Each question comes with hints and explanations to enhance your learning. Get ready for your exam!

Multiple Choice

Which sequence is arithmetic?

Explanation:
An arithmetic sequence has a constant difference between consecutive terms. In -8, -4, 0, 4, you add 4 each time, so the difference is always +4. That consistent step makes it arithmetic. The other sequences don’t keep a single step: -1, 3, -9, 27 jumps by +4, then -12, then +36; 2, 4, 8, 16 doubles each time rather than adding the same amount; and 1, 1, 2, 3 changes by 0, then +1, then +1. So only -8, -4, 0, 4 forms an arithmetic sequence.

An arithmetic sequence has a constant difference between consecutive terms. In -8, -4, 0, 4, you add 4 each time, so the difference is always +4. That consistent step makes it arithmetic.

The other sequences don’t keep a single step: -1, 3, -9, 27 jumps by +4, then -12, then +36; 2, 4, 8, 16 doubles each time rather than adding the same amount; and 1, 1, 2, 3 changes by 0, then +1, then +1. So only -8, -4, 0, 4 forms an arithmetic sequence.

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