## 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 - 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 - 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 - 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)