Mathematics

lf 16/9 , x, 1, y are in Geometric Progression (GP), find the product of…

lf 16/9 , x, 1, y are in Geometric Progression (GP), find the product of x and y.
  • A.
    9/16
  • B.
    3/4
  • C.
    1
  • D.
    4/3
  • E.
    16/6
Correct Answer: Option C
Explanation

16/9, x, 1, y => a, ar, ar2, ar3
ar2 = 1 => 16r2/9 = 1 => 16r2
9 => r2 = 9/16 => r = 3/4
ar2 = y = ar2 x r = 1 x 3/4 = 3/4
x xy = 4/3 x 3/4 = 1