Consider an arithmetic sequence where the 5th term is 35 and the 7th term is 47. Write the recursive formula for the sequence. ___________.
Answer & Analysis
Analysis
Question Analysis
This question requires students to determine the common difference of an arithmetic sequence given two terms and then write the recursive formula. It tests their understanding of the relationship between terms in an arithmetic sequence.
Key Concept Explanation
In an arithmetic sequence, the difference between consecutive terms is constant. The recursive formula is , , where is the common difference.
Step-by-step Solution
1. Identify the given terms: and .
2. Calculate the common difference : Since , we have
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