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RD Sharma Class 11 Maths Solutions Chapter 19 - Arithmetic Progressions

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Last updated date: 24th Feb 2024
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RD Sharma Solutions for Class 11 Maths Chapter 19 - Free PDF Download

Arithmetic Progression is a number series in which a constant value is the difference between any two consecutive numbers. In real life, Arithmetic Progression is important because this helps us to understand things through the use of patterns. RD Sharma Class 11 Arithmetic Progression explains important concerts of Arithmetic Progression and provides solutions to some of the most important and frequently asked questions in board exams. Vedantu provides a free PDF of RD Sharma Class 11 Chapter 19 Solutions. 

Students can download these free PDFto understand the Arithmetic Progression concepts from the top faculty and score good marks in their exams. The RD Sharma Class 11 Ch 19 Solutions are prepared according to the NCERT curriculum. The solutions are prepared in a step by step manner by explaining all steps and important formulas so that the students will easily understand the concepts.

Competitive Exams after 12th Science

RD Sharma Class 11 Arithmetic Progression

The RD Sharma Solutions For Class 11 Maths Chapter 19 also has a lot of exercises and practice problems for students so that it will improve their confidence level before appearing for the exams.

Chapter 19 of the Class 11 Maths syllabus is a very essential chapter for the students. The chapter deals with the relevant basics which should be known to each student. These basics will help them understand other related chapters of the subject as well. The fundamentals of these chapters should be thoroughly known to each student. Also, the questions related to this chapter can be solved easily and quickly by the students during their exams. Moreover, questions from the concepts related to this chapter are also asked in competitive exams and general aptitude tests.

Arithmetic progression generally refers to a mathematical sequence wherein the difference between the two consecutive terms is always constant. Arithmetic progression is generally written as AP in its abbreviated form. An arithmetic progression is also referred to as a sequence of numbers where for every consecutive term, the second number is obtained by adding a specific number to the first one. The fixed number that is added to the first number to get the second number is called the common difference of an arithmetic sequence.

Here let us look at a few of the important topics from the Arithmetic Progression chapter which are frequently asked in exams.

  • Definition of a Sequence.

  • Definition of an Arithmetic Progression.

  • The general term of an Arithmetic Progression.

  • Selection of terms in an Arithmetic Progression.

  • Sum to n terms of an Arithmetic Progression.

  • Properties of Arithmetic Progression.

  • Insertion of arithmetic means.

  • Applications of Arithmetic Progression.

Exercises in RD Sharma Solutions for Class 11 Maths Chapter 19

Exercise-wise Description of RD Sharma Class 11 Chapter 19

RD Sharma Class 11 Chapter 19 contains a total of seven exercises.

  • The first exercise, that is, 19.1 of RD Sharma Class 11 Maths Chapter 19 contains basic questions wherein students will be required to find terms on the basis of a given nth term or a particular sequence.

  • The second exercise, that is, 19.2 of RD Sharma Class 11 Chapter 19 will enable students to find the terms on the basis of the given A.P. in the first four questions of the exercise. The difficulty level of the rest of the questions of the exercise keeps on increasing.

  • Exercises 19.3 -- 19.7 of RD Sharma chapter 19 are more complex and contain more difficult questions. There are a total of 57 questions in these five exercises.

List of Formulas

There are certain formulae present in class 11 chapter 19, that is, an arithmetic progression which is very essential for the students to remember:

  • The general form of an arithmetic progression is given by a, a+d, a+2d, a+3d,....

  • The nth term of an arithmetic progression is given as an = a + (n – 1) × d

  • Sum of n terms in an arithmetic progression is given by: S = n/2 [2a + (n - 1) x d

  • Sum of all terms in a finite arithmetic progression with the last term as ‘I’ will be given as n/2 (a+l)

  • d is a common difference and S is the sum of the first n terms, When n is the nth term of the sequence,

Tips to Prepare for Exams using RD Sharma Solutions For Class 11 Maths Chapter 19 

These tips on the Arithmetic Progression chapter will help students to score good marks in their exams.

  • First, brush up on the basic concepts of sequence and series and types of sequences asked in exams.

  • All the important questions from Arithmetic Progression deal with direct formula based solutions. So it is important to remember all the formulas used such as the general term of an Arithmetic Progression and the sum of Arithmetic Progression. 

  • Read the questions carefully when asked from sequence and series because we have 3 types of series so depending on the given question apply the formulas of Arithmetic Progression and solve accordingly.

Conclusion

The RD Sharma Class 11 Ch 19 Solutions prepared by Vedantu is helpful for students to score good marks in their board exams. These solutions are prepared based on important questions from the NCERT curriculum by the top faculty of Vedantu. The practice problems provided with Arithmetic Progression RD Sharma Solutions will help students to revise the concepts and ace their exams. The RD Sharma Solutions on Arithmetic Progression are prepared by experts to provide top-notch learning content to students. Experts have done a lot of research on the preparation of solutions to provide a unique and fun learning experience to students. 

FAQs on RD Sharma Class 11 Maths Solutions Chapter 19 - Arithmetic Progressions

1. What are arithmetic progressions?

There are generally three different types of progressions in mathematics, that is, arithmetic progression, geometric progression, and harmonic progression. Progression generally refers to a special type of sequence pattern for which we can derive a formula for the nth term. An Arithmetic Progression is a number series in which the second number can be obtained for any pair of consecutive terms by adding a constant or fixed number to the first one. In different words, an arithmetic progression is a sequence of numbers that follows a specific pattern. The difference between two consecutive terms in an arithmetic progression is the same.  

2. How important is RD Sharma Class 11 Arithmetic Progression?

Class 11 Arithmetic Progression is a very essential chapter for the students. This chapter encourages brainstorming. The basics taught in this chapter are also helpful for the students who will be appearing in competitive exams and aptitude tests in the future. The arithmetic progression chapter carries a lot of weightage in board exams and competitive exams. Also, arithmetic progression has a lot of real-life applications which we encounter in our daily lives such as seating students around tables, Stacking chairs, etc.

3. Where can I find RD Sharma Class 11 Chapter 19 Solutions?

Students can find the free PDF of RD Sharma Class 11 Ch 19 Solutions from the Vedantu platform which provides top-notch content for the NCERT curriculum. Students can go to the official website of Vedantu and download the solutions for RD Sharma Class 11 Chapter 19 absolutely free of cost. For downloading RD Sharma solutions, students will have to register at the official website of Vedantu through their email address. The students can then download the PDF file of RD Sharma Class 11 Chapter 19 solutions.

4. What are the major topics covered in RD Sharma Class 11 Chapter 19 Arithmetic Progression?

The major topics that are covered in RD Sharma Class 11 Chapter 19, that is, Arithmetic Progression are Definition of a Sequence,  The general term of an Arithmetic Progression, Definition of an Arithmetic Progression,  Sum to n terms of an Arithmetic Progression, Properties of Arithmetic Progression, Selection of terms in an Arithmetic Progression, Insertion of arithmetic means and Applications of Arithmetic Progression. These topics are very essential from an examination point of view and therefore, students should thoroughly study these topics.

5. What is the benefit of RD Sharma Solutions for Class 11 Chapter 19, Arithmetic Progression by Vedantu?

Class 11 Chapter 19 RD Sharma Solutions , that is, Arithmetic Progression provided by Vedantu are designed by the mathematical experts who are part of the core Vedantu team. The solutions are written in steps so that it is easy for the students to grasp the information and understand the solutions so that they can deal with similar questions that may pop up during the exam with ease. The solutions are framed keeping the learning calibre of the students in mind. Also, the solutions are framed on the basis of the latest syllabus described by CBSE.