11M08�Binomial Theorem
11M08.1� Introduction to Binomial Theorem
Learning objectives
Pascal’s Triangle
Binomial Theorem
11M08.1 –Introduction to Binomial Theorem
11M08.0 – Revision
Recall Test
Recall Test
11M08.1
CV 1
Pascal’s Triangle
INDEX
Coefficients
Terms
1
2
1
2
3
1
2
3
4
1
2
3
4
5
Observation 1
Observation 2
Observation 3
1
1
1
1
1
1
1
1
3
1
3
2
4
6
4
PASCAL’S TRIANGLE
Observations
PSV 01
1
1
1
1
1
3
2
3
6
4
1
4
1
1
5
10
10
5
1
1
1
Conclusion
Consider these expressions
Expansion ??
Coefficients ??
11M08.1
CV 2
Binomial Theorem
Index
Coefficients
1
1
1
1
2
1
1
3
3
1
1
4
6
4
1
Binomial Theorem
BINOMIAL
NOMIAL - TermS
BI - Two
PSV 02
Concept Test
Ready for Challenge?
Concept Test
11M08.1
Binomial Theorem For Positive Integral Index
11M08.2-Binomial Theorem for Positive Integral Index
Sigma means Summation
PSV 03
PSV 04
11M08.2
CV 2
Special Cases for Binomial Theorem
Sum of Binomial Coefficients
PSV 05
PSV 06
Concept Test
Ready for Challenge?
Concept Test
11M08.2
General and Middle Terms
Learning Objectives :
General Term
Constant Term
Middle Term
11M08.2-General and Middle Terms
11M08.2
CV 1
General Term
PSV 07
PSV 08
11M08.2
CV 2
Constant Term
PSV 09
Integer
PSV 10
Fraction
No Middle Term
11M08.2
CV 3
Middle Term
3
2
1
4
5
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
3
2
1
4
5
6
7
8
9
10
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
PSV 11
Odd
Two Middle Terms
PSV 12
One Middle Term
Even
Concept Test
Ready For Challenge?
Concept Test
Concept Test
Concept Test
Concept Test
Concept Test
Concept Test
Concept Test