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

 Jul 6, 2021
 #1
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Let  r  be  the common ratio

 

So

 

18/16  =  r^2

 

9/8   = r^2

 

3 / (2sqrt 2)  =  r

 

So

 

b =   18 ( 3   /  (2sqrt 2) )  =     27 / sqrt 2   =   27 sqrt (2)  /2   =  13.5*sqrt (2)

 

 

 

cool cool cool

 Jul 6, 2021

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