Consider the arithmetic sequence where the first term and the common difference . The 5th term of this sequence can be written as .
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. The given information includes the first term and the common difference, and the student needs to calculate the 5th term.
Key Concept Explanation
The key concept here is the explicit formula for the -th term of an arithmetic sequence: . This formula allows us to find any term in the sequence if we know the first term and the common difference.
Step-by-step Solution
1. Identify the given values: and .
2. Use the explicit formula: .
3. Substitute ,
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