Consider a geometric sequence where the first term is and the common ratio is . What is the 5th term of the sequence? The 5th term is _______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to use the explicit formula for the nth term of a geometric sequence. The given values are the first term and the common ratio , and the student needs to find the 5th term.
Key Concept Explanation
The explicit formula for the nth term of a geometric sequence is (). This formula allows us to directly calculate any term in the sequence without needing to find all preceding terms.
Step-by-step Solution
1. Identify the given values: , , and .
2. Substitute these values into the explicit formula:
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