A geometric sequence has the first term and the third term . To find the common ratio r, you need to use the relationship between the terms. The common ratio r is r = ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the common ratio in a geometric sequence when given non-adjacent terms.
Key Concept Explanation
The common ratio in a geometric sequence is the ratio of each term (starting from the second term) to its preceding term. It is a fixed constant for the sequence.
Step-by-step Solution
1. Identify the first term and the third term
2. Use the relationship between the terms:
3. Substitute the known values:
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