In an arithmetic sequence, the 4th term is 19 and the 7th term is 31. Using the explicit formula, find the common difference . .
Answer & Analysis
Analysis
Question Analysis
This question requires students to use the explicit formula for an arithmetic sequence to solve for the common difference, given two terms in the sequence.
Key Concept Explanation
The explicit formula for an arithmetic sequence is . Given two terms, we can set up a system of equations to solve for and .
Step-by-step Solution
1. Set up the equations for the 4th and 7th terms: and
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