Hello, WWTL@WHL!

The geometric mean is the root of the product of the terms.Question 1

Let be a set of positive numbers in geometric progression.

Suppose is odd.

Show that the geometric mean and the median of are the same.

This is a geometric sequence with first term and common ratio

. . The sequence is: .

The product of the terms is: .

. .

The Geometric Mean is: .

The median is the "middle" term of the sequence: . .