The explicit formula for an arithmetic sequence is given by . If the first term is 5 and the common difference is 3, what is the 8th term of the sequence? ________.
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 values are the first term and the common difference . The student needs to substitute these values into the formula to find the 8th term.
Key Concept Explanation
The explicit formula for an arithmetic sequence, , allows us to directly calculate any term in the sequence without needing to know the previous terms. It is derived based on the first term and the common difference .
Step-by-step Solution
1. Identify the given values: ,
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