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Solve for \(x>0\) in the following arithmetic sequence: \(1^2, x^2, 3^2\)

 Aug 1, 2020
 #1
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we know that 1^2=1 and 3^2=9 so x=sqrt((1+9)/2)=sqrt(10/2)=sqrt5 so out=r final answer is \(\boxed{x=\sqrt5}\)

 Aug 1, 2020
 #2
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At first glance, it would appear that x = 2 but that would not be an arithmetic sequence. 

 

With the values multiplied out, we get 1, x2, 9  and so x2 has to be 5.  therefore x = sqrt(5) 

.

 Aug 1, 2020

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