Analysis
Question Analysis
This question is about determining if a sequence with all identical terms is an arithmetic sequence. The main focus is on understanding that a zero common difference still qualifies a sequence as arithmetic.
Key Concept Explanation
In an arithmetic sequence, the common difference d can be zero. A sequence where all terms are the same has a common difference of 0, making it an arithmetic sequence.
Step-by-Step Solution
Check the differences between consecutive terms in 3, 3, 3, 3, ...:
3 − 3 = 0
3 − 3 = 0
3 − 3 = 0
Since the difference between each pair of consecutive terms is 0 (a constant), the sequence is arithm...
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