A geometric sequence has a first term and a common ratio . Find the 5th term, . Express your answer as a fraction.
Answer & Analysis
Analysis
Question Analysis
The question requires students to use the explicit formula for the nth term of a geometric sequence. Given the first term and the common ratio, students need to substitute these values into the formula to find the 5th term.
Key Concept Explanation
The explicit formula for the nth term of a geometric sequence is (). This formula allows direct calculation of 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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