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If b is positive, what is the value of b in the geometric sequence 16, a, 18, b?

 Feb 3, 2022
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If the common ratio is r (assumed to be positive), then  a  = 16·r

     and  18  =  (16·r)·r  =  16·r2      --->     16·r2  =  18     --->     r  =  sqrt(18/16)

 

then  b  =  18·r  =  18·sqrt(18/16)

 Feb 4, 2022

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