NCERT solutions for class 11 Maths Chapter 9 Sequences and Series

NCERT solutions for class 11 Maths Chapter 9 Sequences and Series

First of all Hello to Everyone, Today we will understand Sequences and Series class 11 Ncert solutions.

Here I have explained each and every question of Exercise 9.1, Exercise 9.2, Exercise 9.3, Exercise 9.4 Class 11 (Ex 9.1 class 11, Ex 9.2 class 11, Ex 9.3 class 11, Ex 9.4 class 11).

Basics of Sequence and Series class 11

Here you will be understanding –

  • What are Sequences and Series?
  • What is the difference between Sequence and Series?
  • How many types of Sequences we have?
  • Basics of Arithmetic Progressions (AP) and Geometric progressions (GP)
  • What is general Term in AP and GP

 

Chapter 9 Exercise 9.1 class 11 Maths

Chapter 9 Ex 9.1 class 11 Maths NCERT solutions of Sequences and series

 

Chapter 9 Exercise 9.2 class 11 Maths

Chapter 9 Ex 9.2 class 11 Maths NCERT solutions of Sequences and series

Some Basics for Ex 9.2 class 11

 

Chapter 9 Exercise 9.2 class 11 Solutions

 

Chapter 9 Exercise 9.3 class 11 Maths

Chapter 9 Ex 9.3 class 11 Maths NCERT solutions of Sequences and series.

Some Basics for Ex 9.3 class 11

 

Chapter 9 Exercise 9.3 class 11 Solutions

 

Chapter 9 Exercise 9.4 class 11 Maths

Chapter 9 Ex 9.4 class 11 maths NCERT solutions of Sequences and series

 

NCERT solutions for class 11 Maths Chapter 9 Sequences and Series

What is Sequence and Series?

Let’s understand Sequence First.

Sequence : Numbers written in a definite or Sequential order is called a Sequence of Numbers.

For Example: 1, 2, 3, 4, 5, 6, 7

Another Example: 2, 4, 6, 8, 10

They both are in Definite orders as first example shows addition of 1 (one) at every next step and similarly in second example there is a multiple of 2 (two).

Sequence is of Three types:

  • Arithmetic Progression (AP)
  • Geometric Progression (GP)
  • Harmonic Progression (HP)

Arithmetic Progression (AP) : If the difference between two consecutive terms is Same then the Sequence is called an Arithmetic Progression (AP).

For Example : 2, 4, 6, 8, 10

Geometric Progression (GP) : If the ratio of any two consecutive terms in a sequence is Same then the Sequence is called an Geometric Progression (GP).

For Example: 2, 4, 8, 16, 32

Here Ratio of any two consecutive term is 2 (That is 4/2 = 8/4 = 16/8 = 32/16 = 2)

Harmonic Progressions :  Sequence of Numbers whose reciprocals are in Arithmetical progression.

For Example: 1, 1/3, 1/5, 1/7

Reciprocal of these Quantities = 1, 3, 5, 7

We know 1, 3, 5, 7 is in Arithmetical progression (AP), Hence Sequence 1, 1/3, 1/5, 1/7 is in Harmonic Progressions (HP).

SERIES: Series is a Sum of the Sequence terms.

Suppose we have a sequence: 2, 4, 6, 8, 10

Series will be 2 + 4 + 6 + 8 + 10

 

NCERT solutions for class 11 Maths Chapter 1 SETS

NCERT solutions for class 11 Maths Chapter 2 Relations and Functions

NCERT solutions for class 11 Maths Chapter 3 Trigonometric Functions

NCERT solutions for class 11 Maths Chapter 4 Principle of Mathematical induction

NCERT solutions for class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations

NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities

NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations

NCERT solutions for class 11 Maths Chapter 8 Binomial Theorem

NCERT solutions for class 11 Maths Chapter 9 Sequences and Series

NCERT solutions for class 11 Maths Chapter 10 straight lines

NCERT solutions for class 11 Maths Chapter 11 Conic Sections

NCERT solutions for class 11 Maths Chapter 13 Limits and Derivatives

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