## NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progression Exercise 5.3: Free PDF Download

NCERT Solutions for Maths Chapter 5 Exercise 5.3 Class 10 - Arithmetic Progressions

## FAQs on NCERT Solutions for Maths Chapter 5 Exercise 5.3 Class 10 - Arithmetic Progressions

**1. What will be taught in Class 10 maths chapter 5 ex 5.3?**

This exercise focuses on applying the formulas for finding the sum of terms in an Arithmetic Progression (AP). You'll likely learn or revise these two important formulas:

$S_n = \dfrac{n}{2} [2a + (n - 1)d]$ - This formula uses the first term (a), the number of terms (n), and the common difference (d) to calculate the sum (Sn) of all n terms.

$S_n = \dfrac{n}{2} (a + l)$ - This formula is a simpler version where you use the first term (a) and the last term (l) of the AP along with the number of terms (n) to find the sum (Sn).

Exercise 5.3 will involve solving various problems using these formulas. There might be questions where you need to find missing terms like a, d, n, or Sn based on the given information. You might also encounter word problems applying these concepts.

2. Give a brief overview of the chapter.

Arithmetic Progression is a significant chapter in your Class 10 Maths of CBSE curriculum. The chapter is a precursor to Geometric Progression. The chapter gives you an apparent idea about numeric sequences or progressions, where the difference between two consecutive numbers is consistent. Chapter 5 of Class 10 Maths presents objective problems where you have to deduce if a scenario follows an Arithmetic Progression or not, write AP sequences based on given first term and difference values, etc. Exercise 5.3 clubs further in-depth, with problems that require you to deduce the n-th term of an AP or the common difference of an Arithmetic Progression.

3. How many questions are there in maths class 10th exercise 5.3?

There are a total of 20 questions in this particular exercise. Question 1 and question 2 consists of 4 and 3 sub-questions and in all the questions we have to find the sum of APs. In question 3, you’ll have to find the nth term or the mentioned terms. In question 4, you’ll have to check how many terms are there in the given sum, Question 5, 6, 7, 8 and 9 are similar types of questions. In which, you’ll have to find the first n terms.

Questions 10 and 11 ask you to find a1, a2... Till the first 15 terms. In question 12, 13 and 14 you have to find the sum of odd numbers between the given numbers. Question 15, 16, 17, 18, 19 and 20 are scenario-based questions. In which, you have to solve the questions based on the given scenario.

4. Why should I choose Vedantu for preparation?

NCERT Solutions for Class 10 Maths Chapter 5 are prepared in an easy to simple language to understand, and they are crisp and concise to the point. All the questions are accurately answered from the exercise given at the end of the NCERT Class 10 Maths of CBSE. Our NCERT Solutions for Class 10 Maths Chapter 5 have been drafted as per the latest CBSE Class 10 Maths Syllabus and NCERT CBSE Class 10 Maths Book.

Our NCERT Solutions gives you a clear idea and understanding of all the important concepts and help you develop a strong conceptual foundation. These solutions cover all possible questions and question types that can be asked in your Class 10 Maths exams.

5. Mention the important concepts that you learn in NCERT Solutions for Chapter 5 Arithmetic Progression of Class 10 Maths.

The important concepts that you learn in the NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progression are-

Arithmetic progression and its terms.

First term and common difference of an Arithmetic progression.

nth term of an Arithmetic progression.

Types of Arithmetic progressions.

Sum of all n terms of an Arithmetic progression.

Sum of n terms in an Arithmetic progression using its last term.

All these concepts are covered in the NCERT Solutions of Chapter 5 of Class 10 Maths and they are quite useful as they pave the way for a more comprehensive study pattern that leaves no room for error in examination.

6. How many exercises are there in NCERT Solutions for Chapter 5 of Class 10 Maths?

The NCERT Solutions for Chapter 5 of Class 10 Maths has four exercises:

The first exercise includes nine problems.

The second exercise includes two problems.

The third exercise includes ten problems.

The fourth exercise includes nine problems.

These questions, as well as their answers, are provided in the NCERT Solutions. Detailed solutions of the same are available free of cost on Vedantu website and also on the Vedantu Mobile app.

**7. Which questions are the most important questions of Exercise 5.3 of Chapter 5 of Class 10th Maths?**

The most important questions from Exercise 5.3 of Chapter 5 of Class 10 Maths are questions three, 18, 19 and 20. These questions are based on almost every concept covered till then. Regardless, all the questions must be attempted and practised thoroughly.

**8. What type of questions are there in Chapter 5 of Class 10 Maths?**

Multiple choice questions, descriptive questions, long answer type questions, short answer type questions, fill in the blanks, and everyday life examples are all included in Chapter 5 of Class 10 Maths . Students' problem-solving and time-management abilities should improve at the end of this chapter. This enables them to achieve excellent grades in their final exams.

**9. What are the most important definitions that I need to remember in Chapter 5 of Class 10 Maths ?**

The most important definitions that you need to remember in Chapter 5 of Class 10 Maths are the definitions of AP and Common Difference. Except for the initial term, an arithmetic progression (AP) is a list of values in which each term is produced by adding a fixed number d to the prior term. The common difference is denoted by the fixed number d. Numericals related to this topic are also very crucial to cover, both for knowledge purposes and as well as exam point of view.

10. What is the formula for Class 10 maths ex 5.3?

There are two main formulas used in Ex 5.3 to find the sum of an Arithmetic Progression (AP):

$S_n = \dfrac{n}{2} [2a + (n - 1)d]$

$S_n = \dfrac{n}{2} (a + l)$

11. How do you find the first term of an arithmetic progression in Ex 5.3 class 10 NCERT Solutions?

If you are given other terms like the common difference (d) and another term (let's say the nth term, tn), you can rearrange the formula for $t_n = a + (n - 1)d$ to solve for a:

a = tn - (n - 1)d