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11M08�Binomial Theorem

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11M08.1� Introduction to Binomial Theorem

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Learning objectives

Pascal’s Triangle

Binomial Theorem

11M08.1 –Introduction to Binomial Theorem

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  •  
  •  

11M08.0 – Revision

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Recall Test

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  •  
  •  

Recall Test

 

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11M08.1

CV 1

Pascal’s Triangle

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INDEX

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Coefficients

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Terms

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1

2

 

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1

2

3

 

 

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1

2

3

4

 

 

 

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1

2

3

4

5

 

 

 

 

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Observation 1

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Observation 2

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Observation 3

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1

1

1

1

1

1

1

1

3

1

3

2

4

6

4

PASCAL’S TRIANGLE

Observations

 

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PSV 01

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1

1

1

1

1

3

2

3

6

4

1

4

1

1

5

10

10

5

1

1

1

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Conclusion

 

Consider these expressions

Expansion ??

Coefficients ??

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11M08.1

CV 2

Binomial Theorem

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Index

Coefficients

1

1

1

1

2

1

1

3

3

1

1

4

6

4

1

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Binomial Theorem

BINOMIAL

 

NOMIAL - TermS

BI - Two

 

 

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PSV 02

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Concept Test

Ready for Challenge?

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Concept Test

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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11M08.1

Binomial Theorem For Positive Integral Index

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11M08.2-Binomial Theorem for Positive Integral Index

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Sigma means Summation

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PSV 03

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PSV 04

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11M08.2

CV 2

Special Cases for Binomial Theorem

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Sum of Binomial Coefficients

 

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PSV 05

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PSV 06

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Concept Test

Ready for Challenge?

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Concept Test

 

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11M08.2

General and Middle Terms

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Learning Objectives :

General Term

Constant Term

Middle Term

11M08.2-General and Middle Terms

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11M08.2

CV 1

General Term

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PSV 07

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PSV 08

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11M08.2

CV 2

Constant Term

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PSV 09

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Integer

 

 

 

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PSV 10

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Fraction

 

 

No Middle Term

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11M08.2

CV 3

Middle Term

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3

2

1

4

5

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3

2

1

4

5

Middle Finger

VOLUME II

VOLUME III

VOLUME VI

VOLUME IV

VOLUME I

VOLUME VII

VOLUME V

Middle Volume

 

 

 

Only ONE Middle Term

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3

2

1

4

5

6

7

8

9

10

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3

2

1

4

5

Middle Fingers

VOLUME II

VOLUME III

VOLUME VI

VOLUME IV

VOLUME I

VOLUME V

Middle Volumes

 

 

 

TWO Middle Terms

6

7

8

9

10

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PSV 11

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Odd

Two Middle Terms

 

 

 

 

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PSV 12

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One Middle Term

Even

 

 

 

 

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Concept Test

Ready For Challenge?

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Concept Test

 

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Concept Test

 

 

 

 

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Concept Test

 

 

 

 

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Concept Test

 

 

 

 

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Concept Test

 

 

 

 

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Concept Test

 

 

 

 

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Concept Test

 

 

 

 

 

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