Determine if the sequence , , 4, , ... is an arithmetic sequence. The answer is _______.
Answer & Analysis
Analysis
Question Analysis
This question involves identifying an arithmetic sequence with mixed number terms. The main focus is on calculating the constant difference between consecutive mixed number terms.
Key Concept Explanation
An arithmetic sequence can include mixed numbers, and the key is that the difference between consecutive terms remains constant, regardless of the form of the terms (integers, fractions, mixed numbers).
Step-by-Step Solution
First, convert mixed numbers to improper fractions for easier calculation:
Calculate the differences:
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