In a geometric sequence, the 4th term is -24 and the 6th term is -96. Find the common ratio of the sequence.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the common ratio of a geometric sequence given two non-adjacent terms, where the common ratio can be either positive or negative.
Key Concept Explanation
The common ratio can be found by dividing the 6th term by the 4th term and then taking the square root. Since the difference in positions is 2, both the positive and negative roots are valid.
Step-by-step Solution
1. Set up the ratio:
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