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2006-06-06 15:21:12 · 3 answers · asked by mugunghwa0646 2 in Science & Mathematics Mathematics

3 answers

(a1* ... *aN)^(1/N)

As soon as you find the geometric sequence

(a1 * a2 * a3 * a4 * a5 * a6)^(1/6)
would be an example of geometric meant, assuming you know a1 through a6

Lets say you had

1, 2, 4, 8, 16, 32

The pattern would be 2^(n - 1)

The geometric mean would be done like this

(1 * 2 * 4 * 8 * 16 * 32)^(1/6) = 32768^(1/6) = 5.6568542...

2006-06-07 06:08:38 · answer #1 · answered by Sherman81 6 · 1 0

Say you want to find the geometric mean of 4 and 25. Set up this ratio:
4:x :: x:25
or in fractional form
4/x = x/25

Solving the fractional form we get:
x^2 = 100, or x = 10

So 10 is the geometric mean of 4 and 25.

This is to find the geometric mean of two numbers. For more numbers, like 5 (call them a, b, c, d and e)

Geometric mean = (a b c d e)^(1/5)

i.e. the fifth root of the product of the five numbers.

2006-06-06 22:27:08 · answer #2 · answered by Seosamh 3 · 0 0

it's the square root of the product of two numbers.
say you got the number 4 and 16.
4*16=64
sqrt 64=8
so the geometric means of 4 and 16 is 8.

2006-06-06 22:32:01 · answer #3 · answered by Maus 7 · 0 0

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