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11M04��Principle of Mathematical Induction

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Ball

Conclusion : Gravity

Deductive Reasoning

Statement 1 : All players are tall.

Statement 2 : Mohan is a player.

Conclusion : Mohan is tall.

Ground

 

Inductive Reasoning

 

 

Conclusion : Identity is True

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11M04.1��Principle of Mathematical Induction

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�Learning Objectives��Understanding Induction�n�Motivation��Principle of Mathematical Induction�����

11M04.1 – Principle of Mathematical Induction

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11M04.1��CV 1��Understanding Induction

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A

B

C

 

 

D

E

F

 

 

Deductive Reasoning

Conclusion

 

Inductive Reasoning

Statement

 

A

B

C

 

 

D

E

F

 

 

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General Principles

Specific Instances

Deductive

Inductive

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11M04.1��CV 2��Motivation

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Dominoes are falling if

​

  • The first domino falls.

​

  • Any domino falls, its successor necessarily falls.

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Mathematical Induction

Inductive Set

Mathematics

Results

Statements

 

Natural Number

 

 

 

 

 

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Arithmetic Progression (A.P.)

Principle of Mathematical Induction

True/False ?

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11M04.1��CV 3��Principle of Mathematical Induction

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Principle of Mathematical Induction

Basic Step

Inductive Step

 

 

 

 

 

 

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Dominoes are falling

IF

Any domino falls

The first domino falls

Its successor necessarily falls

 

 

 

 

Basic Step

Inductive Step

True

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Sol.

 

 

 

 

 

 

 

 

 

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11M04.1��PSV 1

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Sol.

(NCERT – Ex 4.1- Q1)

 

 

 

 

 

 

 

 

 

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11M04.1��PSV 2

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Sol.

(NCERT – Ex 4.1- Q 18)

 

 

 

 

 

 

 

 

 

 

 

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11M04.1��PSV 3

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Sol.

(NCERT – Ex 4.1- Q 19)

 

 

 

 

 

 

 

 

 

 

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Special Case

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Sol.

Basic Step

Inductive Step

 

 

 

 

 

 

 

 

 

 

 

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ConcepTest 1��Ready for a Challenge

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Sol.

 

 

 

 

 

 

 

 

 

Pause the video

(Time Duration : 5 Minutes)

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ConcepTest 2��Ready for a Challenge

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Sol.

 

 

(NCERT – Ex 4.1- Q 21)

 

 

 

 

 

 

 

 

 

 

 

Pause the video

(Time Duration : 6 Minutes)

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�SUMMARY�

  •  

​

 

 

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