SAT II Math I : Sequences

Study concepts, example questions & explanations for SAT II Math I

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Example Questions

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Example Question #11 : Sequences

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, .

 

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