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Trisha Bode

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3y ago
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13y ago

Geometric means are normally not defined for sets including negative numbers because they can lead to imaginary solutions.

However, when all the numbers are negative, one could consider an analogous formula, which gives

GM(-6, -162) = - sqrt(6*162) = -sqrt(972) = -31.177 (to 3 dp)

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Q: What is the geometric means between -6 and -162?
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What are the geometric means between -6 and -162?

156


Is -2-6-18-54-162-468-1458 geometric or arithmetic?

It is neither. (-6) - (-2) = -4 (-18) - (-6) = -12 which is not the same as -4. Therefore it is not an arithmetic progression - which requires the difference between successive terms to be the same. Also -162/-54 = 3 -468/-162 = 2.88... recurring, and that is not the same as 3. Therefore it is not a geometric progression - which requires the ratio of terms to be the same.


Two geometric means between 2 and 54?

Look 2 and 8, their geometric mean is square root of 16 which is 4 and between 2 and 54. 9 and 4 have a geometric mean of 6 which is also between 2 and 54. Is this what you mean? Pun intended... The geometric mean of 2 and 54 is square root of 108.


What is the geometric mean between 6 and 15?

9.486833


Is 6 divisible by 162?

6 is not divisible by 162. 162 is divisible by 6.


Is 18 the geometric mean between 4 and 9?

No, 6 is.


What is the r value of the following sequence 6 -18 54 -162?

To find the common ration in a geometric sequence, divide one term by its preceding term: r = -18 ÷ 6 = -3 r = 54 ÷ -18 = -3 r = -162 ÷ 54 = -3


What is the geometric mean between 6 and 12 in radical form?

It is 6*sqrt(2)


What is the geometric mean in simplified form between 4 and 6?

2 sqrt(6)


What is the geometric mean in simplified form between 2 and 18?

6


What is the geometric mean between 6 and 12?

8.48528137424


Is 162 evenly divided into 3 6 and 9?

162 can indeed be divided into 3, 6, and 9. 162/3 = 54 162/6 = 27 162/9 = 18