Given the sequence , determine if it is a geometric sequence. If it is, find the common ratio r. The common ratio is r = ____.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to identify the common ratio in a geometric sequence with alternating signs. 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 in the sequence by its preceding term.
Step-by-step Solution
1. Calculate the ratio between the second and first terms:
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