A geometric sequence has the first term and the 4th term . Find the common ratio r. The common ratio is r = ____.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the common ratio of a geometric sequence given the first term and a specific term.
Key Concept Explanation
The explicit formula for the -th term of a geometric sequence is given by (). To find the common ratio, we can use the given terms and solve for .
Step-by-step Solution
1. Identify the first term and the 4th term .
2. Use the explicit formula:
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