Question #6445075Fill in the Blank
Algebra-1
Question
In the geometric sequence , the common ratio 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 are decreasing. The sequence involves fractions, which adds a layer of complexity.
This question assesses the student's ability to find the common ratio in a geometric sequence where the terms are decreasing. The sequence involves fractions, which adds a layer of complexity.
Key Concept Explanation
The common ratio in a geometric sequence is the constant ratio between any term and its preceding term. For the given sequence, the ratio can be calculated by dividing any term by its preceding term.
The common ratio in a geometric sequence is the constant ratio between any term and its preceding term. For the given sequence, the 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:
1. Identify the first two terms: and .
2. Calculate the common ratio:
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