Question #6445032Fill in the Blank
Algebra-1
Question
A sequence is given as . The common ratio of this geometric sequence is _____.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to identify the common ratio in a geometric sequence where the terms are fractions. The sequence provided is .
This question tests the student's ability to identify the common ratio in a geometric sequence where the terms are fractions. 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, denoted by . The common ratio can be calculated by dividing any term in the sequence by its preceding term.
In a geometric sequence, each term after the first is found by multiplying the previous term by a constant called the common ratio, denoted by . 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 the first term:
2. Calculate the ratio between the third and the second term:
1. Calculate the ratio between the second and the first term:
2. Calculate the ratio between the third and the second term:
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