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

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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)

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Lecture - 3

  • NCERT Exercise 9.2 (Q5 to Q12)

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Lecture - 4

  • NCERT Exercise 9.2 (Q13 to Q18)

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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)

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Lecture - 6

  • NCERT Exercise 9.3 (Q11 to Q18)

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Lecture - 7

  • NCERT Exercise 9.3 (Q19 to Q25)

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Lecture - 8

  • NCERT Exercise 9.3 (Q26 to Q31)

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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

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Lecture - 10

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

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Lecture - 11

  • NCERT Miscellaneous Exercise (Q1 to Q10)

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Lecture - 12

  • NCERT Miscellaneous Exercise (Q11 to Q17)

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Lecture - 13

  • NCERT Miscellaneous Exercise (Q18 to Q24)

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Lecture - 14

  • NCERT Miscellaneous Exercise (Q25 to Q32)

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Lecture - 15

  • NCERT Miscellaneous Example 21 to Example 24

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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)

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