In an arithmetic sequence, the first term and the fourth term . The common difference d of this sequence is d = ________.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to determine the common difference in an arithmetic sequence when given the first and a later term. The common difference can be found by recognizing that the difference between the first and fourth terms is three times the common difference.
Key Concept Explanation
In an arithmetic sequence, the common difference is the same between any two consecutive terms. The difference between the first and fourth terms is , so can be calculated as .
Step-by-step Solution
1. Identify the first term .
2. Identify the fourth term .
3. Calculate the difference between the first and fourth terms:
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