Mathematical Induction and Binomial Theorem

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    Chapter 8 Mathematical Induction and Binomial Theorem ( 40 videos)

      8.1: Principle of Mathematical Induction
      Introduction to Mathematical Induction
    1. Introduction to Mathematical Induction
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      2. Problem-Introduction to Mathematical Induction
    2. Problem-Introduction to Mathematical Induction
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      3. Principle of Mathematical Induction
    3. Principle of Mathematical Induction
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      4. More on Principle of Mathematical Induction
    4. More on Principle of Mathematical Induction
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      5. Problem1-Principle of Mathematical Induction
    5. Problem1-Principle of Mathematical Induction
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      6. Problem2-Principle of Mathematical Induction
    6. Problem2-Principle of Mathematical Induction
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      7. Principle of Extended Mathematical Induction
    7. Principle of Extended Mathematical Induction
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      8. Problem1-Principle of Extended Mathematical Induction
    8. Problem1-Principle of Extended Mathematical Induction
      1347 views
      9. Problem2-Principle of Extended Mathematical Induction
    9. Problem2-Principle of Extended Mathematical Induction
      979 views
      8.2: Binomial Theorem
      Introduction to Binomial Theorem
    1. Introduction to Binomial Theorem
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      2. Problem1-Introduction to Binomial Theorem
    2. Problem1-Introduction to Binomial Theorem
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      3. Problem2-Introduction to Binomial Theorem
    3. Problem2-Introduction to Binomial Theorem
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      4. Proof of Binomial Theorem
    4. Proof of Binomial Theorem
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      5. More on Proof of Binomial Theorem
    5. More on Proof of Binomial Theorem
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      6. Problem1-Proof of Binomial Theorem
    6. Problem1-Proof of Binomial Theorem
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      7. Problem2-Proof of Binomial Theorem
    7. Problem2-Proof of Binomial Theorem
      584 views
      8. Deductions From Binomial Theorem
    8. Deductions From Binomial Theorem
      9. Problem1-Deductions From Binomial Theorem
    9. Problem1-Deductions From Binomial Theorem
      633 views
      10. Problem2-Deductions From Binomial Theorem
    10. Problem2-Deductions From Binomial Theorem
      520 views
      11. Some Important Observations
    11. Some Important Observations
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      12. The Middle Term in the Expansion of ( a + x ) ^n
    12. The Middle Term in the Expansion of ( a + x ) ^n
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      13. Problem1-The Middle Term in the Binomial Expansion
    13. Problem1-The Middle Term in the Binomial Expansion
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      14. Problem2-The Middle Term in the Binomial Expansion
    14. Problem2-The Middle Term in the Binomial Expansion
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      15. More on Problem2-The Middle Term in the Binomial Expansion
    15. More on Problem2-The Middle Term in the Binomial Expansion
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      16. Problem3-The Middle Term in the Binomial Expansion
    16. Problem3-The Middle Term in the Binomial Expansion
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      17. Some Deductions From the Binomial Expansion
    17. Some Deductions From the Binomial Expansion
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      18. Problem1-Some Deductions From the Binomial Expansion
    18. Problem1-Some Deductions From the Binomial Expansion
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      19. Problem2-Some Deductions From the Binomial Expansion
    19. Problem2-Some Deductions From the Binomial Expansion
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      20. Problem3-Some Deductions From the Binomial Expansion
    20. Problem3-Some Deductions From the Binomial Expansion
      496 views
      8.3: Binomial Theorem (When Index n is a Negative Integer or a Fraction)
      The Binomial Theorem With Negative Integer Index
    1. The Binomial Theorem With Negative Integer Index
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      2. Problem-The Binomial Theorem With Negative Integer Index
    2. Problem-The Binomial Theorem With Negative Integer Index
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      3. Some Particular Cases of the Binomial Expansion
    3. Some Particular Cases of the Binomial Expansion
      4. Problem-Some Particular Cases of the Binomial Expansion
    4. Problem-Some Particular Cases of the Binomial Expansion
      628 views
      8.4: Binomial Coefficients Using Pascal's Triangle
      Pascal's Triangle
    1. Pascal's Triangle
      832 views
      2. Problem1-Pascal's Triangle
    2. Problem1-Pascal's Triangle
      582 views
      3. Problem2-Pascal's Triangle
    3. Problem2-Pascal's Triangle
      477 views
      8.5: Applications of Binomial Theorem
      Applications of the Binomial Theorem
    1. Applications of the Binomial Theorem
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      2. More on Applications of the Binomial Theorem
    2. More on Applications of the Binomial Theorem
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      3. Problem1-Applications of the Binomial Theorem
    3. Problem1-Applications of the Binomial Theorem
      642 views
      4. Problem2-Applications of the Binomial Theorem
    4. Problem2-Applications of the Binomial Theorem
      623 views