Relationship Between A.M And G.M
Chapter Name : Sequences And Series |
Sub Topic Code : 104_11_09_06_01 |
Topic Name : Relationship Between A.M And G.M |
|
Sub Topic Name : Relationship Between A.M And G.M |
|
Introduction
You will learn about the relation between the arithmetic mean and geometric mean.
Pre-Requisites:
Idea about sequences and series, arithmetic mean and geometric mean.
Activity:
If
A.M. and G.M. of roots of a quadratic equation are 8 and 5, respectively, then
obtain the quadratic equation
Real Life Question:
null
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Arithmetic Mean | Given two numbers a and b. We can insert a number A in between a and b such that a, A, b are in AP. A is called the arithmetic mean of a and b. A= (a+b)/2 |
| Geometric Mean | Geometric mean of two positive numbers a and b is the number?ab. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| AM and GM chart | Educational |
Real life uses :
Educational
purpose.
Places to visit :
Math
libary
Practical examples around us
| Examples | Explainations |
|---|---|
| coins | To find the AM and Gm of two sets of coins. |
What you learn in Theory:
|
What is the relation between the arithmetic and geometric mean
of two given numbers. |
|
The principle behind Am and GM. |
What you learn in Practice:
Given
the AM and GM, how to find the two numbers.