Algebra-1

Question Analysis
This question evaluates the student's ability to find the common ratio and the first term of a geometric sequence given two non-adjacent terms, where the terms are negative.

Key Concept Explanation
The key concept here is using the explicit formula for geometric sequences, (), and setting up equations to solve for and .

Step-by-step Solution
1. Given: and .
2. Using the explicit formula: and .
3. Divide the second equation by the first:

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