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Question

For what values of x, the numbers 27,x,72 are in G.P ?

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Solution

Given: 27,x,72 are in G.P.
So, common ratio remains same.
Now, common ratio =second termfirst term
common ratio =x(27)=7x2(i)
Also, Common ratio =Third termSecond term=72x=72x(ii)
From (i) & (ii), we get
7x2=72x
x2=1
x=1 or 1
For x=1, G.P. is
27,1,72 and
For x=1, G.P. is
27,1,72

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