SOLUTION: Geometric mean of 2 4 8 16 32 64

Question 1185706: Geometric mean of 2 4 8 16 32 64
Found 3 solutions by math_helper, greenestamps, ikleyn:
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

(rounded to three decimal places)

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

The sequence itself is geometric; so the geometric mean is simply the geometric mean of the first and last terms:

ANSWER: 8*sqrt(2)

Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.

Geometric mean of n terms , , . . . , is, BY THE DEFINITION, the root of degree n of the product of these terms = . In this case, GM(2,4,8,16,32,64) = = = = = 11.314 (rounded). ANSWER

Solved.

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On Geometric mean see this Wikipedia article

https://en.wikipedia.org/wiki/Geometric_mean

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