Table of Contents

## How do you find GM when AM and HM given?

The relation between AM GM HM can be represented by the formula AM × HM = GM2. Here the product of the arithmetic mean(AM) and harmonic mean(HM) is equal to the square of the geometric mean(GM).

## How do you calculate GM on a calculator?

In order to find the geometric mean, multiply all of the values together before taking the nth root, where n equals the total number of values in the set. You can also use the logarithmic functions on your calculator to solve the geometric mean if you want.

## Which of the following gives the right inequality for AM GM Hm?

8. Which of the following gives the right inequality for AM, GM, HM? Explanation: Airthmetic mean is always greater than or equal to geometric mean,geometric mean is always greater than or equal to harmonic mean. 9.

## When can we apply AM-GM inequality?

Weighted AM–GM inequality holds with equality if and only if all the xk with wk > 0 are equal. Here the convention 00 = 1 is used. If all wk = 1, this reduces to the above inequality of arithmetic and geometric means.

## Why do we use AM-GM inequality?

The AM–GM inequality, or inequality of arithmetic and geometric means, states that the arithmetic means of a list of non-negative real numbers is greater than or equal to the geometric mean of the same list. If every number in the list is the same then only there is a possibility that two means are equal.

## What is the condition for AM GM Hm?

Relation between AM, GM and HM AM HM =a+b/2 2ab/a+b = ab = (ab )2= (GM)2 Note that these means are in G.P.

## Which of the following relation is true among am GM and Hm?

M=≥H. M.

## What are the steps to finding the geometric mean?

Basically, we multiply the ‘n’ values altogether and take out the nth root of the numbers, where n is the total number of values. For example: for a given set of two numbers such as 8 and 1, the geometric mean is equal to √(8×1) = √8 = 2√2.

## Can Am be equal to GM?

So, in general we can say that all the values are equal in the series where AM=GM=HM.