In an arithmetic sequence, the third term and the fifth term . Write the recursive formula for this sequence. The recursive formula is ; for .
Answer & Analysis
Analysis
Question Analysis
This question requires the student to determine the common difference and the first term of the sequence. The student must use the given terms to find the common difference and then the first term.
Key Concept Explanation
The recursive formula for an arithmetic sequence is given by where is the common difference. The first term can be found using the relationship between the given terms and the common difference.
Step-by-step Solution
1. Use the given terms and .
2. Find the common difference: , so
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