A geometric sequence has a first term and a common ratio . Find the 5th term, . Write your answer in the form of a fraction.
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 . The task is 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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