Determine if the sequence is geometric. If it is, the common ratio is _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to identify whether a given sequence is geometric and, if so, to determine the common ratio. The sequence provided is .
Key Concept Explanation
In a geometric sequence, each term after the first is found by multiplying the previous term by a constant called the common ratio (). The common ratio can be calculated by dividing any term by its preceding term.
Step-by-step Solution
1. Identify the given sequence:
2. Calculate the ratio between the second term and the first term:
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