Insert three geometric means ( two positive and one negative ) between - 84 and - 6,804.
A) 250, - 754, 754
B) 252, - 755, 754
C) 252, - 756, 2,268
D) 253, 755, - 2,267

Question

Quizplus · Accepted Answer

To find the geometric mean between two numbers, we take the square root of their product. 
First, we find the positive geometric mean between -84 and -6804: 
$\sqrt{(-84)(-6804)} = 252$ 
Next, we find the negative geometric mean between -84 and -6804: 
$\sqrt{(-84)(-6804)}/-84 = -756$ 
Finally, we find the positive geometric mean between -756 and -6804: 
$\sqrt{(-756)(-6804)} = 2268$ 
Thus, the answer is choice C.

Insert Three Geometric Means ( Two Positive and One Negative