Consider an arithmetic sequence where the 3rd term is and the 7th term is . What is the common difference d of this sequence? d = ________.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to determine the common difference of an arithmetic sequence when given two specific terms. The problem provides the 3rd and 7th terms and asks for the common difference.
Key Concept Explanation
The common difference can be calculated using the formula , where and are the terms at positions and respectively.
Step-by-step Solution
1. Identify the given values: ,
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