Q4 of 176 Page 20

The product of three numbers in G.P. is 125 and the sum of their products taken in pairs is . Find them.

Let the three numbers be .


∴ According to the question


⇒ …(1)


From 1 we get


⇒ a3 = 125


∴ a = 5.


⇒


⇒ a + ar + a2 =


Substituting a = 5 in above equation we get


⇒ 5 + 5r + 25 =


⇒ 5r =


⇒


⇒


⇒


∴ are the three numbers.


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