In an arithmetic sequence, the 4th term is 22 and the 8th term is 46. 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 when 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 to set up equations for the 4th and 8th terms:
For the 4th term:
For the 8th term:
3. Subtract the first equation from the second to solve for
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