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We have two geometric sequences of positive real numbers:

6,a,b and a,b,1296

Solve for a

 May 13, 2021
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note that 6/a = a/b = b/1296

 

also note that 6^4=1296

 

since there's two variables in between one can determine a=6^2=36 (and b=216)

 May 13, 2021
edited by Guest  May 13, 2021

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