NCERT Solutions for Class 11 Maths Chapter 8 Exercise 8.1 Sequences and Series - PDF Download

NCERT solutions for class 11 maths chapter 8 exercise 8.1 Sequence and Series explains finite and infinite sequences. Sequences with a finite number of terms are finite, while sequences with infinite number terms are infinite. Ex 8.1 class 11 maths chapter 8 NCERT solutions is made up of 14 short questions that ask students to identify the nth term of the given sequences. Students will be able to easily understand the type of questions that can be asked in the exam by using the solutions of this chapter 8 ex 8.1 class 11 maths.

Ex 8.1 class 11 maths solutions are prepared by the academic team of mathematics of eSaral with an in-depth knowledge of sequences and series concepts. In order to achieve the highest possible score in the exam, it is essential to comprehend all the concepts of this chapter and solve the questions in ex 8.1 provided in the NCERT solutions of eSaral. Class 11 maths chapter 8 exercise 8.1 NCERT solutions are available here in downloadable PDF format. You should download the PDF available for free of cost at eSaral and enhance your learning abilities to achieve good marks in exams.

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Topics Covered in Exercise 8.1 Class 11 Mathematics Questions

Ex 8.1 class 11 maths chapter 8 NCERT solutions basically, is based on sequences and series. eSaral’s subject experts have discussed these topics precisely and clearly to solve questions with ease.

1. Sequences

The terms of a sequence by a₁ , a₂ , a₃ , …, a_n , …, etc., the subscripts denote the position of the term. The nth term is the number at the nth position of the sequence and is denoted by a_n. The nth term is also called the general term of the sequence. 

A sequence containing a finite number of terms is called a finite sequence. A sequence is called infinite, if it is not a finite sequence. 

The nth term of even natural numbers, sequence can be written as a_n = 2n, where n is a natural number. Similarly, in the sequence of odd natural numbers 1,3,5, …, the nth term is given by the formula, a_n = 2n – 1, where n is a natural number.

In some cases, an arrangement of numbers such as 1, 1, 2, 3, 5, 8,.. has no visible pattern, but the sequence is generated by the recurrence relation given by

a₁ = a₂ = 1

a₃ = a₁ + a₂

a_n = a_{n – 2} + a_{n – 1}, n > 2

This sequence is called the Fibonacci sequence.

2. Series

Let a₁ , a₂ , a₃ , ... be the sequence, then the sum expressed as a₁ + a₂ + a₃ + ... is called series. A series is called a finite series if it has got finite number of terms. 

Thus, the series a₁+ a₂ + a₃ + ... + a_n is abbreviated as $\sum_{k=1}^n a_k$

Tips for Solving Exercise 8.1 Class 11 Chapter 8 Sequences and Series

NCERT solutions class 11 maths chapter 8 ex 8.1 sequence and series provides students with well-structured, easy-to-understand questions with simple tips and tricks on how to find the nth term in the sequence.

1. You need to keep in mind that whenever they use the phrase "sum of a series" anywhere, it implies that the number is obtained by adding terms.
2. You must know the difference between sequence and series and must be well-versed with the concepts of sequence.
3. You should learn the symbols and terms which are used to define sequence and series in order to solve the questions of ex 8.1.

Importance of Solving Ex 8.1 Class 11 Maths Chapter 8 Sequences And Series

There are numerous benefits of solving ex 8.1 class 11 maths NCERT solutions provided by eSaral’s expert faculty. We have combined some of them for you here that will help you in many ways.

1. In order to solve the exercise problems, you need to go through the solved examples and definitions which are provided by eSaral in NCERT solutions . This will help you easily understand the concept.
2. Ex 8.1 class 11 maths has questions which are solved in simple and sequential manner in NCERT solutions that will help you solve these questions quickly in exam.
3. Ex 8.1 in class 11 maths chapter 8 is about finding nth term in sequence, series in given sequence, fibonacci series etc. These questions are defined in detail by our subject experts in eSaral. This exercise will help you in comprehending the concepts and solving the questions step by step. 
4. Revising the concepts and practicing the questions frequently will improve you problem solving abilities.

Frequently Asked Questions

Question 1. Define finite sequence and infinite sequence in NCERT solutions class 11 maths chapter 8 ex 8.1?

Answer 1.  A sequence which contains a finite number of terms is called a finite sequence. A sequence is called infinite, if it is not a finite sequence. 

Question 2. What do you understand by series in NCERT solutions class 11 maths chapter 8 ex 8.1?

Answer 2. Let a₁ , a₂ , a₃ , ... be the sequence, then the sum expressed as a₁ + a₂ + a₃ + ... is called series. A series is called a finite series if it has got finite number of terms.