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Mathematical Induction and Binomial Theorem
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Chapter 1: Sets
Chapter 2: Real and Complex Number Systems
Chapter 3: Equations
Chapter 4: Matrices and Determinants
Chapter 5: Groups
Chapter 6: Sequences and Series
Chapter 7: Permutations, Combinations and Introduction to Probability
Chapter 8: Mathematical Induction and Binomial Theorem
Chapter 9: Fundamentals of Trigonometry
Chapter 10: Trigonometric Identities
Chapter 11: Graphs of Trigonometric Functions
Chapter 12: Solutions of Triangles
Chapter 13: Inverse Trigonometric Functions and Trigonometric Equations
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Chapter 8: Mathematical Induction and Binomial Theorem (
39 videos
)
  (
Practice Test
)
8.1: The Principle of Mathematical Inducion
Introduction to Mathematical Induction
Problem-Introduction to Mathematical Induction
8.2: Sum of Positive Integral Powers of Natural Numbers  (
Practice Test
)
Principle of Mathematical Induction
More on Principle of Mathematical Induction
Problem1-Principle of Mathematical Induction
Problem2-Principle of Mathematical Induction
Sum of Positive Integral Powers of Natural Numbers
Principle of Extended Mathematical Induction
Problem1-Principle of Extended Mathematical Induction
Problem2-Principle of Extended Mathematical Induction
8.3: Binomial Theorem  (
Practice Test
)
Introduction to Binomial Theorem
Problem1-Introduction to Binomial Theorem
Problem2-Introduction to Binomial Theorem
Pascal's Triangle
Problem1-Pascal's Triangle
Problem2-Pascal's Triangle
8.4: The Binomial Theorem for a Positive Integral Index  (
Practice Test
)
Proof of Binomial Theorem
More on Proof of Binomial Theorem
Problem1-Proof of Binomial Theorem
Problem2-Proof of Binomial Theorem
8.5: Some Important Observations
Some Important Observations
8.6: The General Term
Deductions From Binomial Theorem
Problem1-Deductions From Binomial Theorem
Problem2-Deductions From Binomial Theorem
8.7: The Middle Terms
The Middle Term in the Expansion of ( a + x ) ^2
Problem1-The Middle Term in the Binomial Expansion
Problem2-The Middle Term in the Binomial Expansion
More on Problem2-The Middle Term in the Binomial Expansion
Problem3-The Middle Term in the Binomial Expansion
8.8: The Binomial Series
Some Deductions From the Binomial Expansion of ( a + x ) ^n
Problem1-Some Deductions From the Binomial Expansion
Problem2-Some Deductions From the Binomial Expansion
Problem3-Some Deductions From the Binomial Expansion
8.9: Approximations
Some Deductions From the Binomial Expansion of ( a + x ) ^n
Applications of the Binomial Theorem
Problem1-Applications of the Binomial Theorem
8.10: Application to Summation of Series
Some Deductions From the Binomial Expansion of ( a + x ) ^n
More on Applications of the Binomial Theorem
Problem2-Applications of the Binomial Theorem
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