SOLUTION: A geometric sequence has four positive terms a1,a2,a3,a4. If a3/a1=9 and a1+a2=4/3, then what is a3?

SOLUTION: A geometric sequence has four positive terms a1,a2,a3,a4. If a3/a1=9 and a1+a2=4/3, then what is a3?

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Question 1168533: A geometric sequence has four positive terms a1,a2,a3,a4. If a3/a1=9 and a1+a2=4/3, then what is a3?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
If common ratio is r then and therefore .

Given
and from use of the ratio found,

.
.

From that, term at index 3 is .
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