Find the two geometric means between 20 and 2500

Step-by-step explanation:

First of all we all should know about a geometric progression to solve this question.

A geometric progression is a series in which there is a first term a and all the next terms are calculated by multiplying the previous term by a common number r.

where a is known as first term and

r is known as common ratio.

In the question we are given a as 20 and we have to find out 2 terms after 20 and 4th term is given as 2500.

Formula for term in a geometric progression is:

Here = 2500

As per formula of term:

Now, 2nd term:

Now, 3rd term:

So, the two geometric means between 20 and 2500 are 100 and 500.