Geometric Progression
Chapter Name : Sequences And Series |
Sub Topic Code : 104_11_09_05_01 |
Topic Name : Geometric Progression |
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Sub Topic Name : Geometric Progression |
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Introduction
A
series in which the ratio of every term to its previous term is constant is
known as geometric series.
Pre-Requisites:
Idea about sequences and series, arithmetic progressions, multiplication of numbers.
Activity:
Real Life Question:
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Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Geometric Progression | A sequence a1, a2, a3, …….. an is called arithmetic progression if an = arn-1, n ? N, where a is called the first term and the constant r is called the common ratio. Mathematically, a_(k+1)/a_k =r (constant),for k?1 |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Calculator | Write a number and multiply it consecutively with a constant number and write down the sequence obtained! |
Real life uses :
To
model motion problems involving constant acceleration or deceleration. To model
real life quantities such as monthly bills for cellular telephone services.
Places to visit :
Practical examples around us
| Examples | Explainations |
|---|---|
| 1. Amoeba Multiplication | The reproduction process of amoeba forms a geometric series. |
| 2. Nuclear Fission | Each atoms cell splits into two atoms forming a GP. |
What you learn in Theory:
What
are geometric progressions.
What you learn in Practice:
How
to form a geometric sequence.