Algebra-1

Question Analysis
This question tests the student's ability to identify and calculate the common ratio in a geometric sequence. The sequence provided has alternating signs, which is a key characteristic of a geometric sequence with a negative 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 dividing any term by its preceding term.

Step-by-step Solution
1. Identify the first two terms: and .
2. Calculate the common ratio: