Consider the geometric sequence . The common ratio of this sequence is _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to identify and calculate the common ratio in a geometric sequence. The sequence provided has alternating signs, which requires careful attention to the sign of the ratio.
Key Concept Explanation
The common ratio in a geometric sequence is the constant ratio between any term and its preceding term. For the given sequence, the ratio can be calculated by dividing any term by its preceding term.
Step-by-step Solution
1. Identify the first two terms: and .
2. Calculate the common ratio:
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