A geometric sequence has a first term and a common ratio . Find the 6th term of the sequence. The 6th term is _______.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to use the explicit formula for the nth term of a geometric sequence when the common ratio is a fraction.
Key Concept Explanation
The explicit formula for the nth term of a geometric sequence is (). When the common ratio is a fraction, the terms decrease as the sequence progresses.
Step-by-step Solution
1. Identify the given values: , , and .
2. Substitute these values into the explicit formula:
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