Algebra-1

Question Analysis
This question evaluates the student's ability to find the common ratio in a geometric sequence when given the first and third terms. The problem requires the student to set up and solve a quadratic equation.

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 found by using the relationship between the first and third terms.

Step-by-step Solution
1. Identify the first term: .
2. Identify the third term: .
3. Use the relationship :

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