In an arithmetic sequence, the 4th term is 23 and the 8th term is 59. Using the explicit formula, find the 15th term. The 15th term is _______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to use the explicit formula for an arithmetic sequence to find a specific term, given two other terms in the sequence.
Key Concept Explanation
The explicit formula for an arithmetic sequence is , where is the -th term, is the first term, is the common difference, and is the term number.
Step-by-step Solution
1. Identify the given terms: and .
2. Use the explicit formula for the 4th and 8th terms to set up equations:
For the 4th term ():
For the 8th term ():
3. Solve for and
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