Arithmetic Progression
Chapter Name : Sequences And Series |
Sub Topic Code : 104_11_09_04_02 |
Topic Name : Arithmetic Progression |
|
Sub Topic Name : Arithmetic Mean |
|
Introduction
The
series formed in which there is a constant difference between any two
consecutive terms in known as arithmetic progression. The middle term between
any two terms is the arithmetic mean of the two terms.
Pre-Requisites:
Idea
about arithmetic series, nth term of an AP.
Activity:
Insert
5 numbers between 8 and 26 such that each number is equidistant from its
neighboring numbers.
Real Life Question:
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Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Arithmetic Progression | A sequence a1, a2, a3, …….. an is called arithmetic progression if an+1 = an +d, n ? N, where a1 is called the first term and the constant d is called the common difference. |
| 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 |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Arithmetic Mean chart | To understand Arithmetic Mean |
Real life uses :
In
banking problems, payment of loans, calculating averages of numbers.
Places to visit :
Math
libary
Practical examples around us
| Examples | Explainations |
|---|---|
| coins | We can find the AM of two sets of coins |
What you learn in Theory:
What
is arithmetic mean?
What you learn in Practice:
How
to find the arithmetic mean?