Question 980503: If b is positive, what is the value of b in the geometric sequence 9,a,4,b? Express your answer as a common fraction.
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! the nth element of a geometric series is
a(n) = a(0)*r^(n-1) where a(0) is the first element, r is the common ratio
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we are given 9,a,4,b and asked to find b
4 = 9*r^2
r^2 = 4 / 9
r = 2 / 3
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b = 9*(2/3)^3
b = 9*(8/27)
b = 8/3
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