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RD Sharma Solutions for Class 10 Maths Chapter 9 - Arithmetic Progressions

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Last updated date: 28th Feb 2024
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RD Sharma Class 10 Maths Arithmetic Progressions Solutions - Free PDF Download

Free PDF download of RD Sharma Solutions for Class 10 Maths Chapter 9 - Arithmetic Progressions solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 9 - Arithmetic Progressions Exercise Questions with Solutions to help you to revise the complete Syllabus and Score More marks. Register for online coaching for JEE (Mains & Advanced), NEET, Engineering and Medical entrance exams. Register Online for Class 10 Science tuition on Vedantu.com to score more marks in the CBSE board examination. Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. Maths Students who are looking for better solutions can download Class 10 Maths NCERT Solutions to help you to revise the complete syllabus and score more marks in your examinations.

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Class 10 RD Sharma Textbook Solutions Chapter 9 - Arithmetic Progressions

In this Chapter 9 - Arithmetic Progressions, several exercise questions with solutions for RD Sharma Class 10 Maths are given to help the students and understand the concepts better. 


We have provided step by step solutions for all exercise questions given in the pdf of Class 10 RD Sharma Chapter 9 - Arithmetic Progressions. All the Exercise questions with solutions in Chapter 9 - Arithmetic Progressions are given below:

Exercise 9.1

Exercise 9.2

Exercise 9.3

Exercise 9.4

Exercise 9.5

Exercise 9.6

At Vedantu, students can also get Class 10 Maths Revision Notes, Formula and Important Questions and also students can refer to the complete Syllabus for Class 10 Maths, Sample Paper and Previous Year Question Paper to prepare for their board exams to score more marks.


Arithmetic progression is an important part as per the latest syllabus of CBSE Class 10 Maths. R. D. Sharma has the best collection of questions which help the students feel at ease while solving the questions and the examples are extremely beneficial for understanding the concept as a whole. A progression is a sequence of numbers that follow a specific pattern. In an arithmetic progression, the difference between every two consecutive terms remains the same through a sequence. Or in other words, an arithmetic progression is a sequence where, except the first term, is obtained by adding the fixed number to its previous term.  Here, there is a possibility to derive the formula for the nth term like the example given: The sequence 2, 6, 10, 14…. Is an arithmetic progression simply because the difference between every two numbers is 4 and the pattern continues. Therefore, the formula here would be nth term= 4n-2. The terms of the sequence can be obtained by substituting n= 1, 2, 3….in the nth term.

When the n=1, 4n-2= 4(1)-2= 4-2=2

When the n=2, 4n-2= 4(2)-2= 8-2=6

When the n=3, 4n-2= 4(3)-2= 12-2=10

So what is the formula for calculating the addition of the Arithmetic Progression? Let us consider the first term of the progression to be ‘a’ and of the common difference to be ‘d’.

  1. The nth term is not known is Sn=n/2[2a+(n-1)d], When the sum of the first n terms of an Arithmetic Progression Chapter 9 of R.D. Sharma class 10 Maths is dedicated to Arithmetic Progression. The main modules under this topic are:

  • Arithmetic Progressions

  • Understanding Sequences

  • Describing the sequence by writing the algebraic formula in its terms

  • Finding the sum of terms in  AP

  • Solving various exercises and problems related to AP 

FAQs on RD Sharma Solutions for Class 10 Maths Chapter 9 - Arithmetic Progressions

1. How many questions should be practised for Arithmetic Progression?

Because the sequences can vary in terms of difficulty and complexity, it is advisable to practice as many questions as possible after the completion of the chapter in R. D. Sharma class 10 Maths. There are six exercises given from 9.1 to 9.6. The types of questions could be to either find the first or last term of the progression or the common difference within the sequence. In case a student faces some difficulty in understanding the concepts or is unable to comprehend the ways of solving a question, the student should first go through the examples mentioned after every module. 

2. Is Arithmetic Progression a difficult chapter?

Maths is all about practice and keeping in mind the basics which are useful for solving complex questions. Arithmetic Progression could be tricky initially due to being analytically intensive. Once the student can crack the pattern of the sequence, placing it in the form of formula is all that needs to be done! There are many tips and tricks to find the arithmetic progression of a sequence and a student can do so through rigorous practice and also by solving sample papers created by the experts of Vedantu.

3. How do we memorise the formula in Arithmetic Progression?

 The basic step to memorise a formula is by understanding its derivation. Maths can never be ‘learned’ or ‘memorised’ in the truest sense. A formula can be ‘memorised’ only after writing the formula again and again for long term retention. Use mnemonic devices or make one of your own through video tutorials or articles on how and where to use mnemonics. Keep practising questions related to the respective formula. Once the student gets a hang of the process, the formula will forever be etched in the memory. 

4. How many progressions can be derived through the formula of Arithmetic Progression?

There are mainly two answers for such progressions- negative and positive. It is simply calculated by taking the difference of the second term and the first term in the arithmetic sequence or the difference between the third and second term or any other two consecutive terms in the sequence. An example of a negative progression could be 10, 7, 4, 1, -2…… Here the common difference is -3. The only thing that students need to keep in their mind is that the common difference changes with the change in sequence or series.

5. How many questions are asked from Arithmetic Progression in the CBSE Class 10 Maths Board Exam?

The marking scheme of questions on Arithmetic Progression depends on the complexity of the question. According to the Previous Years’ Question papers, at least 1 or two questions have always been mentioned in the paper. The marks range from one to four and hence this chapter cannot be skipped. Students who have strengthened their algebra skills can easily solve such questions through the correct usage of formulae. Hence students should be solving both the mock papers and the Previous Years’ question papers to understand the pattern which is available on Vedantu’s official website in PDF format for free.