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Chapter 6: Sequences and Series (102 videos)

6.1: Introduction
1. Introduction to Sequence and Series
2. Problem-Introduction to Sequence and Series
3. Convergent, Divergent and Periodic Sequences
4. Problem-Convergent, Divergent and Periodic Sequences
5. Types of Sequences
6. Problem-Types of Sequences
 
6.2: Arithmetic Sequences or Arithmetic Progression ( A.P )
1. Concept of Arithmetic Progression
2. Problem-Concept of Arithmetic Progression
 
6.3: Standard Form of an A.P
1. Concept of Arithmetic Progression
2. Problem-Concept of Arithmetic Progression
 
6.4: Arithmetic Series
1. Concept of Series
2. Problem1-Concept of Series
3. Problem2-Concept of Series
4. Sum of First n Terms of an Arithmetic Series
5. Problem-Sum of First n Terms of an Arithmetic Series
 
6.5: Arithmetic Means
1. Concept of Arithmetic Mean
2. Problem-Concept of Arithmetic Mean
 
6.6: To Insert Arithmetic Means
1. n Arithmetic Means Between Two Given Numbers
 
6.7: To Find the Sum of n A.M
1. To Find the Sum of n A.M
2. Problem-To Find the Sum of n A.M
3. To Find the Sum of p A.M
4. Problem-To Find the Sum of p A.M
5. Word Problems on Arithmetic Progression
6. More on Word Problems on Arithmetic Progression
7. Problem1-Word Problems on Arithmetic Progression
8. Problem2-Word Problems on Arithmetic Progression
 
6.8: Geometric Sequence or Geometric Progression ( G.P )
1. Concept of Geometric Progression
2. Problem1-Concept of Geometric Progressions
3. Problem2-Concept of Geometric Progressions
 
6.9: Standard Form of a G.P
1. Concept of Geometric Progression
2. Problem1-Concept of Geometric Progressions
3. Problem2-Concept of Geometric Progressions
 
6.10: Geometric Series
1. Introduction to Geometric Series
2. Problem-Introduction to Geometric Series
3. Sum of n Terms of a Geometric Series
4. Problem-Sum of n Terms of a Geometric Series
 
6.11: Infinite Geometric Series
1. The Infinite Geometric Series
2. More on The Infinite Geometric Series
3. Problem1-The Infinite Geometric Series
4. Problem2-The Infinite Geometric Series
5. Recurring Decimals
 
6.12: Geometric Means
1. Concept of Geometric Mean
2. Problem-Concept of Geometric Means
 
6.13: To Insert Geometric Mean
1. Concept of Geometric Mean
2. Problem-Concept of Geometric Means
3. n Geometric Means Between Two Given Numbers
4. Problem-n Geometric Means Between Two Given Numbers
5. Word Problems on Geometric Series
6. More on Word Problems on Geometric Series
7. Problem1-Word Problems on Geometric Series
8. Problem2-Word Problems on Geometric Series
9. Problem3-Word Problems on Geometric Series
 
6.14: Harmonic Sequences or Harmonic Progression ( H.P )
1. Concept of Harmonic Progression
2. Problem-Concept of Harmonic Progression
 
6.15: General Term of an H.P
1. General Term of Harmonic Progression
2. Problem-General Term of Harmonic Progression
 
6.16: The Characteristic Relation for an H.P
1. The Characteristic Relation for H.P
2. Problem-The Characteristic Relation for H.P
 
6.17: An Important Theorem
1. An Important Theorem
2. More on An Important Theorem
3. Problem-An Important Theorem
 
6.18: Harmonic Means
1. Concept of Harmonic Mean
2. Problem-Concept of Harmonic Mean
 
6.19: To Insert Harmonic Mean
1. Concept of Harmonic Mean
2. Problem-Concept of Harmonic Mean
3. n Harmonic Means Between Two Numbers
4. Problem-n Harmonic Means Between Two Numbers
 
6.20: Relation Between Means
1. Relations Between A.M, G.M & H.M
2. More on Relations Between A.M, G.M & H.M
3. Problem-Relations Between A.M, G.M & H.M
4. Alternate Formula For sum of n Numbers
5. Problem-Alternate Formula For sum of n Numbers
6. Alternate Formula For Sum of n Squares
7. More on Alternate Formula For Sum of n Squares
8. Problem-Alternate Formula For Sum of n Squares
9. Alternate Formula For Sum of n Cubes
10. More on Alternate Formula For Sum of n Cubes
11. Problem1-Alternate Formula For Sum of n Cubes
12. Problem2-Alternate Formula For Sum of n Cubes
13. Arithmetical-Geometric Series
14. Problem-Arithmetical-Geometric Series
15. Sum of n Terms of Arithmetical-Geometric Series
16. More on Sum of n Terms of Arithmetical-Geometric Series
17. Further on Sum of n Terms of Arithmetical-Geometric Series
18. Problem-Sum of n Terms of Arithmetical-Geometric Series
19. Sum to Infinity of Arithmetico-Geometric Series
20. Problem-Sum to Infinity of Arithmetico-Geometric Series
21. The Method of Differences
22. Problem-The Method of Differences
23. A Series Each Term Having r Factors in A.P
24. More on A Series Each Term Having r Factors in A.P-1
25. More on A Series Each Term Having r Factors in A.P-2
26. More on A Series Each Term Having r Factors in A.P-3
27. Problem-A Series Each Term Having r Factors in A.P
28. Introduction to Reciprocal Series
29. More on Introduction to Reciprocal Series1
30. More on Introduction to Reciprocal Series2
31. More on Introduction to Reciprocal Series3
32. Problem-Introduction to Reciprocal Series1
33. Problem-Introduction to Reciprocal Series2
34. Summation of Series By Partial Fractions
35. Problem-Summation of Series By Partial Fractions
 

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