Arithmetic Progression
Chapter Name : Sequences And Series |
Sub Topic Code : 104_11_09_04_01 |
Topic Name : Arithmetic Progression |
|
Sub Topic Name : Arithmetic Progression |
|
Introduction
The
series formed in which there is a constant difference between any two
consecutive terms in known as arithmetic progression.
Pre-Requisites:
Idea
about sequences and series.
Activity:
Numbers
and charts.
Real Life Question:
null
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. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Arithmetic Progression | To understand Arithmetic Progression |
Real life uses :
Entomologists
use arithmetic progressions study bee population dynamics finding number of
cells in honeycomb and pollination of plants. Auditoriums are constructed with
different heights to reflect back sound to the audience.
Places to visit :
Stock
exchange.
Practical examples around us
| Examples | Explainations |
|---|---|
| 1. Even Numbers | First term is 2 and every next tem has a difference of 2 from previous term. |
| 2. Tables of Numbers | The mathematical tables of numbers is an AP. The number itself being the first term and the same number added consecutively to get the successive terms. |
What you learn in Theory:
What
are arithmetic progressions and what is the sum of the arithmetic series.
What you learn in Practice:
How
the terms and sum of arithmetic series are calculated and how AP are applied to
real life.