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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