A geometric sequence has the first term and the 5th term . Find the 3rd term of the sequence. The 3rd term is _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find a specific term in a geometric sequence given the first term and another specific term.
Key Concept Explanation
The explicit formula for the -th term of a geometric sequence is given by (). To find the 3rd term, we first need to determine the common ratio using the given terms.
Step-by-step Solution
1. Identify the first term and the 5th term .
2. Use the explicit formula: .
3. Set up the equation:
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