Geometric mean formula explained

Learn and know one of the important formulas in geometric progression i.e. geometric mean formula. Like arithmetic mean in A.P, we have geometric mean in G.P.

Geometric mean formula

I hope that you know what is a geometric progression. So directly we will learn what is geometric mean and formula for finding geometric mean. First, we will understand geometric mean concept by some examples. If 5, 10, 20 are in geometric progression then the middle number 10 is called as geometric mean. Let us take one more example, if 30, 60, 120 are in geometric progression then 60 is called as geometric mean.

Geometric mean formula in general form:

If x, y, z are in geometric progression then the middle term “y” is called as geometric mean. The value of y can be find out by the formula, y = √xz  .

Example:

If 16, x, 64 are in G.P. the find the value of x.

Solution:

Geometric mean formula

 

 

 

=  4 × 8 

   = 32

Hope you learnt geometric mean formula.

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