RD Sharma Class 11 Maths Solutions Chapter 19 - Arithmetic Progressions

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 19.1

• Exercise 19.2

• Exercise 19.3

• Exercise 19.4

• Exercise 19.5

• Exercise 19.6

• Exercise 19.7

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.