Algebra-1

Question Analysis
This question tests the student's ability to identify and calculate the common ratio in a geometric sequence when given non-adjacent terms. The sequence provided has a positive common ratio, which is a key characteristic of a geometric sequence with a positive common ratio.

Key Concept Explanation
The common ratio in a geometric sequence is the ratio of each term to its preceding term. For the given sequence, the common ratio can be calculated by using the relationship between the first and fourth terms.

Step-by-step Solution
1. Identify the first term and the fourth term .
2. Use the formula for the -th term of a geometric sequence: .
3. Substitute the known values:

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