lf 16/9 , x, 1, y are in Geometric Progression (GP), find the product of x and y.
- 9/16
- 3/4
-
1
- 4/3
- 16/6
The correct answer is: C
Explanation
16/9, x, 1, y => a, ar, ar2, ar3ar2 = 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