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# RD Sharma Class 11 Solutions Chapter 21 - Some Special Series (Ex 21.1) Exercise 21.1 LIVE
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## RD Sharma Class 11 Solutions Chapter 21

Free PDF download of RD Sharma Class 11 Solutions Chapter 21 - Some Special Series Exercise 21.1 solved by Expert Mathematics Teachers on Vedantu. All Chapter 21 - Some Special Series Ex 21.1 Questions with Solutions for RD Sharma Class 11 Math to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering entrance exams.

Last updated date: 01st Oct 2023
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## Chapter 21 - Some Special Series: Overview

‘Some Special Series’ is Chapter 21 in RD Sharma for Class 11. In this chapter, students will learn about different types of series that are used in mathematics equations. Special Series can be defined as the sum of all the numbers of the given sequence. The sequences are of two types infinite as well as finite. In the same way as sequences, the series can also be infinite or finite. Finite series can be defined as a type of series having a finite number of terms and on the other hand, Infinite series can be defined as a type of series having an infinite number of terms (number of elements are not finite).

For example, consider a sequence as 5, 7, 9,11 … Then the series of these terms will be 5 + 7 + 9 +11 …. . There are different kinds of series that are special in some way or the other are called a special series. ‘Some special series’ chapter is one of the most important chapters for Class 11 students. Under this chapter, students will get to know that the special series can be arithmetic or geometric. There are some types of series whose sum can be defined by some particular formulae. While going through Chapter 21, students will understand the concepts and all their solutions from RD Sharma. Some basic concepts related to special series that a student will learn are:

1.  Special Series with concept of Sum of first n natural numbers

The description of this series is given below:

1+ 2 + 3 + 4 + …. + n = n (n + 1) / 2

1. Special Series with concept of Sum of squares of the first n natural numbers

The description of this series is given below:

12 + 22 + 32 +… + n2  = n(n + 1) (2n + 1)/6

1. Special Series with concept of Sum of cubes of the first n natural numbers

The description of this series is given below:

13 + 23 + 33 + … + n3  = (n (n + 1)/2)2

### Advantages of Referring RD Sharma for Class 11 Chapter 21 - Some Special Series Solutions

• The concepts of the Chapter ‘Some Special Series’ for Class 11 are well explained in RD Sharma.

•  All the concepts provided in RD Sharma are in a very detailed way and very easy to understand.

• For those students who want to practise questions and want to learn the concepts in depth, RD Sharma is the best book to refer to. Students will be able to get the solutions for every question of Exercise 21.1 from Chapter 21. Exercise 21.1 mainly consists of the concept of the sum of n terms.

• Students should try to solve all the questions because the concepts are very important and practicing them much with the help of Vedantu’s RD Sharma solutions will make it easy to understand the concepts really well.

• RD Sharma has all the Exercise 21.1 questions and also different types of sample questions that will help to make clarity of types of questions that would come for exams. Referring to RD Sharma Solutions will always be a useful way to learn and grasp the concepts for Class 11 students for math Chapter 21 exercise 21.1 for good understanding and to score good marks.

## FAQs on RD Sharma Class 11 Solutions Chapter 21 - Some Special Series (Ex 21.1) Exercise 21.1

1. Is it compulsory to solve all the Class 11 RD Sharma questions of Chapter 21 Exercise 21.1?

It is always advisable to solve as many questions of Exercise 21.1 from RD Sharma as possible because it will always help students to understand the concept in depth. Chapters like the Special series have different types of conceptual numbers questions so solving all the questions will make it easy to solve similar questions in exams. Every question contains some new concept to learn so try to solve all the questions for better understanding.

2. Can Class 11 students depend on the RD Sharma Solutions Mathematics Chapter 21 for their exam preparations from Vedantu?

Yes, students of Class 11 can definitely depend on the RD Sharma solutions provided by Vedantu. Vedantu provides all the solutions prepared by the subject experts that will help a student to acquire good knowledge and understanding. All the RD Sharma questions solutions can be downloaded from the Vedantu app or website. These solutions are prepared keeping the examination requirements in mind. Each solution is published only after careful analysis and research to make it as comprehensive as possible for the students.

3. Is practicing the solutions of RD Sharma Chapter 21 Exercise 21.1 solutions useful for Class 11 students?

Practice is key to becoming perfect in Mathematics. Thus rigorous practice will only help the students to learn varying methods of solving the questions. When students start solving the questions, they first need to understand the concepts of the questions. This can be done by referring to the NCERT textbooks. Then they can go through RD Sharma's solutions for practicing the particular concept behind the questions. This will help them get the much-needed practice to excel in the examinations.

4. According to RD Sharma Class 11 solutions for Chapter 21, what is the concept of the Special series?

According to RD Sharma Class 11 solutions for Chapter 21, the concept of Special Series can be defined as the sum of all the numbers of the given sequence. The series can also be infinite or finite. Finite series can be defined as a type of series having a finite number of terms and on the other hand, Infinite series can be defined as a type of series having an infinite number of terms.  There are different kinds of series that are special in some way or the other are called special series. Students can find all the solutions related to the concept from RD Sharma on Vedantu.

5. How to find the solutions for RD Sharma Class 11 Chapter 21 Some Special Series Exercise 21.1 question?

Every student can easily find all the solutions for questions of Exercise 21.1 from the Vedantu app or website. The concepts are fully explained in a step by step manner to simplify the process for the students. For all the detailed solutions for RD Sharma questions, students can download the PDF as well from the Vedantu. To download the solutions: