Find the common ratio of three numbers in G.P whose product is 216 and the sum of the products taken in pairs is 114.	Choose the correct choice from the following answers
A) 2 or ½	B) 2/3 or 3/2	C) ¾ or 4/3	D) 4 or ¼	E) 5 or 1/5
Let the terms be a/r, a , ar   a/r *a * ar = a 3 =216, a =6   (a/r*a )+ (a*ar) + (ar*a/r ) =114, a 2/r + a 2 r + a 2 =114   a 2 ( 1/r + r +1 ) = 114, 36[( 1+ r 2 +r )/r] =114   6 [( 1 +r 2+ r )/r ]= 19, 6 r 2 -13 r + 6 = 0,   On solving, r = 2/3 or 3/2   ANSWER:2/3 or 3/2
<result>B</result>
Find the common ratio of three numbers in G.P whose product is 216 and the sum of the products taken in pairs is 114.