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Defining Geometric Mean

What is the Geometric Mean of a1,a2,,a5a_1,a_2,\dots,a_5?

Is the sentence true or false?

The Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by taking the root of the product of their values.

Given the geometric sequence :

What is the Geometric Mean of 1 and 15?

Is the sentence true or false?

The geometric mean is also defined as the nth root of

the product of n numbers.

What is the Geometric Mean aa and bb ?

What is the Geometric Mean of  a1,a2,,ana_1,a_2,\dots,a_n ?

What is the Geometric Mean of 1, 3, 9, 27 and 81?

What is the Geometric Mean of a1,a2,,a10a_1,a_2,\dots,a_{10} ?

What is the Geometric Mean of 10, 51.2 and 8?