Question #6445068Fill in the Blank
Algebra-1
Question
Given the geometric sequence , the common ratio r is _______.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to find the common ratio in a geometric sequence where the terms alternate in sign. The student must correctly divide the terms to find the common ratio.
This question assesses the student's ability to find the common ratio in a geometric sequence where the terms alternate in sign. The student must correctly divide the terms to find the common ratio.
Key Concept Explanation
The common ratio in a geometric sequence is the constant ratio between each term and its preceding term. It is calculated as for . In this case, the terms alternate in sign, indicating a negative common ratio.
The common ratio in a geometric sequence is the constant ratio between each term and its preceding term. It is calculated as for . In this case, the terms alternate in sign, indicating a negative common ratio.
Step-by-step Solution
1. Identify the terms in the sequence:
1. Identify the terms in the sequence:
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