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If b is positive, what is the value of b in the geometric sequence 16, a, 8, b?

 Apr 19, 2020
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Geometric sequences have a common ratio, r    (it's a multiplier)

 

We have:  16,  16r,  16r2 = 8,  16r3 

 

Since  16r2 = 8,  r2  =  ½   and  r  =  sqrt(2)/2

 

b  =  8· sqrt(2)/2  =  4·sqrt(2)

 Apr 19, 2020

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