Question #6445070Fill in the Blank
Algebra-1
Question
Consider the geometric sequence . The common ratio r is ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the common ratio in a geometric sequence where the terms involve fractions and alternate in sign. The student must correctly divide the terms to find the common ratio.
This question tests the student's ability to find the common ratio in a geometric sequence where the terms involve fractions and 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:
2. Calculate the common ratio by dividing the second term by the first term:
1. Identify the terms in the sequence:
2. Calculate the common ratio by dividing the second term by the first term:
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