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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
It goes: 162/6 = 27 times