In a geometric sequence, the 2nd term is 6 and the 3rd term is 36. What is 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 when two consecutive terms are given. The given values are the 2nd term () and the 3rd term (). The student needs to calculate the common ratio.
Key Concept Explanation
The key concept here is the relationship between consecutive terms in a geometric sequence, which is defined by the common ratio . The common ratio can be found by dividing any term by its preceding term, i.e., ().
Step-by-step Solution
1. Identify the given terms:
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