Q. 85.0( 4 Votes )

Find three numbers in G.P. whose product is 729 and the sum of their products in pairs is 819.

Answer :

Let the three numbers be .


According to the question


…(1)


From 1 we get


a3 = 729


a = 9.



a + ar + a2 = 819


Substituting a = 9 in above equation we get


9 + 9r + 81 = 819


9r = 729


r = 81


are the three numbers.


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