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
