In a geometric sequence, the first term is and the common ratio is . What is the 4th term of the sequence? The 4th term is _______.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's understanding of the explicit formula for the nth term of a geometric sequence, particularly when the common ratio is negative.
Key Concept Explanation
The explicit formula for the nth term of a geometric sequence is (). When the common ratio is negative, the sign of the terms alternates.
Step-by-step Solution
1. Identify the given values: , , and .
2. Substitute these values into the explicit formula:
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