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


Question

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

Options

A) 9/16

B) 3/4

C) 1

D) 4/3

E) 16/6

The correct answer is 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

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