In an arithmetic sequence, the 5th term is 35 and the 9th term is 55. Determine the 12th term of the sequence. The 12th term is _________.
Answer & Analysis
Analysis
Question Analysis
This question requires students to find the common difference and then use it to determine a specific term in the sequence.
Key Concept Explanation
The common difference can be found using the relationship between the given terms. Once is known, the recursive formula can be used to find any term in the sequence.
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: .
4. Solve for :
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