156
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)
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.
6 is not divisible by 162. 162 is divisible by 6.
8.48528137424
162 can indeed be divided into 3, 6, and 9. 162/3 = 54 162/6 = 27 162/9 = 18
To find geometric mean between two numbers you have to multiply them and put them in square root. √3 * 12 = √36 = 6
156
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.
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.
9.486833
No, 6 is.
6 is not divisible by 162. 162 is divisible by 6.
It is 6*sqrt(2)
2 sqrt(6)
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
6
8.48528137424
162 can indeed be divided into 3, 6, and 9. 162/3 = 54 162/6 = 27 162/9 = 18