Consider a geometric sequence where the first term is 8 and the second term is -16. Determine the 4th term, , of this sequence.
Answer & Analysis
Analysis
Question Analysis
The question assesses the student's ability to identify the common ratio and use the explicit formula to find a specific term in a geometric sequence.
Key Concept Explanation
The common ratio can be found by dividing any term by its preceding term. The explicit formula for the -th term is ().
Step-by-step Solution
1. Identify the first term and the second term .
2. Calculate the common ratio: .
3. Substitute and into the explicit formula:
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