9. Sequences And Series

Sequences And Series

Complete Syllabus of Class 11 Maths Chapter 9 Sequences and Series:

NCERT Exercise 9.1

NCERT Exercise 9.2

NCERT Exercise 9.3

NCERT Exercise 9.4

NCERT Miscellaneous Exercise

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Subject Language: ENGLISH Explanation

Language: HINDI (HINGLISH)

Lecture - 1

• Meaning of Sequences
• Meaning of General Term (nth term)
• Meaning of Series
• NCERT Exercise 9.1 (Q1 to Q14)
• Fibonacci Sequence

Lecture - 2

• Meaning and Basics of Arithmetic Progression
• Derivation for nth term (General term) of Arithmetic Progression
• Derivation for Sum to n terms of a Arithmetic Progression
• Relationship between Arithmetic Progression and Arithmetic Mean
• NCERT Exercise 9.2 (Q1 to Q4)

Lecture - 3

• NCERT Exercise 9.2 (Q5 to Q12)

Lecture - 4

• NCERT Exercise 9.2 (Q13 to Q18)

Lecture - 5

• Meaning of Geometric Progression (GP) and its common ratio
• General Term of Geometric Progression (nth term of GP)
• Derivation for Sum to n terms of a GP
• Geometric Mean and its relationship with Geometric Progression
• Rules Comparison of Arithmetic Progression and Geometric Progression
• NCERT Exercise 9.3 (Q1 to Q10)

Lecture - 6

• NCERT Exercise 9.3 (Q11 to Q18)

Lecture - 7

• NCERT Exercise 9.3 (Q19 to Q25)

Lecture - 8

• NCERT Exercise 9.3 (Q26 to Q31)

Lecture - 9

• Introduction to Special Series
• Sum of first n natural numbers
• Inspirational Story of Mathematician Gauss when he was in elementary school told by Prof. Arvind Gupta
• Sum of Squares of first n natural numbers
• Sum of Cubes of first n natural numbers
• Summary of Lecture

Lecture - 10

• NCERT Exercise 9.4 (Q1 to Q10)
• NCERT Example 19

Lecture - 11

• NCERT Miscellaneous Exercise (Q1 to Q10)

Lecture - 12

• NCERT Miscellaneous Exercise (Q11 to Q17)

Lecture - 13

• NCERT Miscellaneous Exercise (Q18 to Q24)

Lecture - 14

• NCERT Miscellaneous Exercise (Q25 to Q32)

Lecture - 15

• NCERT Miscellaneous Example 21 to Example 24

Lecture - 16

• Why sum to infinity in a Geometric Progression exists only for r less then 1? Derivation of rule for sum of infinite terms of a G.P.
• NCERT Supplementary Exercise (Q1 to Q6)