Mathematical Induction PART 1

What is *mathematical* Induction ?

~ A special way of proving things

~ A means of proving a theorem by showing that if it is true of any particular case it is true of the next case in a series, and then showing that it is indeed true in one particular case

What is the step to of proving this ?

Show it is true for the first one

2.Show that if any one is true then the next one is true

(the thorough steps will be written in PART 2 )

Mathematical Induction is just like DOMINO EFFECT

The first domino falls

Ｔhe next domino falls　，　the others domino will falls too until the last one !

So ... all dominos will fall!!!!!

That is how Mathematical Induction works.

Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1 paragraph 2	paragraph 1 paragraph 2
`[example link](https://brilliant.org)`	example link
`> This is a quote`	This is a quote
# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"	# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

To complement this note I want to apport this writting(is in spanish). http://www.mediafire.com/view/7ribhrcila14727/induccion-matematica.pdf

Paola Ramírez - 6 years, 5 months ago

i'm a malaysian . i do not understand spanish at all. I learn this from my senior 3 textbook and i wrote this note out to share what i had understood and what i had learnt and what teacher had taught me :))

Nicole Ling - 6 years, 5 months ago

It is good

Paola Ramírez - 6 years, 5 months ago

Ｉm totally do not understand spanish.. how could i do that ..

Nicole Ling - 6 years, 5 months ago

Don't worry, I m going to translate de document tomorrow, some examples doen't need writting explanation

Paola Ramírez - 6 years, 5 months ago

@Paola Ramírez – ＴＨＡＮＫＳ！！！：）

Nicole Ling - 6 years, 5 months ago

Great

Kundan Patil - 6 years, 5 months ago

Nice explanation

Ateeq Ur Rahman - 5 years, 3 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$