Concept explainers
To find: The common ratio of the given geometric sequence.
Answer to Problem 17PPE
The common ratio of the geometric sequence is
Explanation of Solution
Given information:
The given geometric sequence is
Concept used:
A sequence of the form is the geometric with a as the first term, r the common ratio, and nth term
A geometric sequence is a sequence in which the ratio consecutive terms is constant.
The given geometric sequence isthat may be written as
Thus, the common ratio of the sequence is
The ratios of consecutive terms are.
The ratios of consecutive terms for this sequence is constant
Hence, the common ratio of the geometric sequence is
Conclusion:
The common ratio of the geometric sequence is
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