In an arithmetic sequence, the third term and the fifth term . Write the recursive formula. The recursive formula is ; for .
Answer & Analysis
Analysis
Question Analysis
This question requires students to find the common difference of an arithmetic sequence given two terms. The recursive formula can then be written using this common difference.
Key Concept Explanation
The common difference in an arithmetic sequence is the constant difference between consecutive terms. The recursive formula for an arithmetic sequence is , .
Step-by-step Solution
1. Identify the given terms: and .
2. Use the relationship between the terms to find the common difference : .
3. Substitute the known values:
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