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Example Questions
Example Question #61 : Mathematical Relationships
The first and third terms of a geometric sequence comprising only positive elements are and , respectively. In simplest form, which of the following is its second term?
Possible Answers:
None of these
Correct answer:
Explanation:
Let be the common ratio of the geometric sequence. Then
and
Therefore,
,
Setting , and applying the Quotient of Radicals Rule:
Taking the square root of both sides:
Substituting, and applying the Product of Radicals Rule:
Since all elements of the sequence are positive, .
Robert
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Daytona State College, Bachelor in Arts, Teaching English as a Second Language (ESL).
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