Geometric Progression
Chapter Name : Sequences And Series |
Sub Topic Code : 104_11_09_05_04 |
Topic Name : Geometric Progression |
|
Sub Topic Name : Geometric Mean (G.M) |
|
Introduction
The
series formed in which there is a constant ratio between a term and its
previous term is known as geometric progression. Geometric Mean is a kind of
mean or average. It indicates the central tendency of a set of numbers.
Pre-Requisites:
Idea about sequences and series, geometric progressions, nth term of a GP.
Activity:
Emily’s
salary for the current year is $15000. What was her salary in 2nd
year if her 3rd year’s salary is $60000.
Real Life Question:
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Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Geometric Mean | Geometric mean of two positive numbers a and b is the number ?ab. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| GM chart | Educational |
Real life uses :
Geometric
mean is used to find the root of the product of a set of data and relevant any
time several quantities multiply together to produce a product. Geometric Mean
is used to calculate the rate of interest and population growth.
Places to visit :
Math
libary
Practical examples around us
| Examples | Explainations |
|---|---|
| coins | We can find the GM of sets of coins. |
What you learn in Theory:
What
are geometric progressions and what is the geometric mean?
What you learn in Practice:
How
to find the geometric mean of two numbers and insert numbers into a geometric
sequence.