Analysis
Question Analysis
This question involves identifying an arithmetic sequence, with a focus on recognizing that the common difference can be negative.
Key Concept Explanation
An arithmetic sequence has a constant difference between consecutive terms, which can be positive, negative, or zero. A negative common difference means each term is smaller than the previous one.
Step-by-Step Solution
Calculate the differences between consecutive terms in 10, 7, 4, 1, ...:
7 − 10 = −3
4 − 7 = −3
1 − 4 = −3
The difference between each pair of consecutive terms is -3, which is constant. Thus, the sequence is arithmetic.
Common Mistakes
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