A geometric sequence has a first term and a common ratio . Find the 8th term. The 8th term is ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply the explicit formula for the nth term of a geometric sequence, specifically with a negative common ratio.
Key Concept Explanation
The explicit formula for the nth term of a geometric sequence is given by (). Here, is the first term, is the common ratio, and is the term number.
Step-by-step Solution
1. Identify the given values: , , and .
2. Substitute these values into the explicit formula:
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