Given the arithmetic sequence where the first term and the third term , find the common difference . The common difference is .
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's understanding of the common difference in an arithmetic sequence. The common difference can be found by recognizing that the difference between the first and third terms is twice 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 third terms is , so can be calculated as .
Step-by-step Solution
1. Identify the first term .
2. Identify the third term .
3. Calculate the difference between the first and third terms:
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