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# NCERT Solutions for Class 10 Maths chapter 5 Exercise 5.3 Arithmetic Progressions - PDF Download

Class 10

The NCERT solutions for class 10 maths chapter 5 Arithmetic Progressions ex 5.3 provides to assist students in calculating the sum of the first "n" terms in an arithmetic progression. The formula for this is n/2 [2a + (n-1)d], where "a" is the first term and "d" is the common difference. You will also learn the formula S = n/2(a+l), If (a) is the first term and (l) is the last term, and the common difference is not given.

NCERT solutions ex 5.3 class 10 maths includes 20 detailed questions that are designed to provide a comprehensive overview of the various possibilities of arithmetic progression. To solve various kinds of questions related to first ‘n’ terms of arithmetic progression, students should thoroughly study the NCERT solution. Students can download Free PDF of NCERT solutions for class 10 maths chapter 5 ex 5.3 prepared by our expert team of mathematics.

## Topics Covered in Exercise 5.3 Class 10 Mathematics Questions

Chapter 5 of NCERT solutions class 10 maths ex 5.3 provides an explanation of the sum of the first ‘n’ terms of AP and their applications.

 1 Sum of First ‘n’ Terms of an AP
1. Sum of First ‘n’ Terms of an AP - Class 10 maths ex 5.3 Arithmetic Progression is a method of calculating the sum of the n terms of an Arithmetic Progression by assuming that the difference between two consecutive terms is constant.

Important Point

The sum of the first n terms of an AP is given by-

S =   n/2 [2a + (n-1)d]

If l is the last term of the finite AP, say the nth term, then the sum of all terms of the AP is given by -

S = n/2(a+l)

## Tips for Solving Exercise 5.3 Class 10 chapter 5 Arithmetic Progressions

Here are some of the important tips for solving ex 5.3 class 10 chapter 5 Arithmetic Progressions.

1. To figure out the answer to the questions in ex 5.3 you need to know the first term and total number of terms. Students should keep in mind that to figure out the sum of first ‘n’ terms of an arithmetical progression, you need to use the following formulas: Sn = n / 2 [2 + (n - 1) d], with 'a' is the first term, 'd' is the common difference. Sn = n/2 * (a + l), where 'a' is the first term and 'l' is the last term.

2. NCERT solutions class 10 maths chapter 5 ex 5.3 has some tricky questions, but students should explore the NCERT solutions provided by experts of eSaral before solving the exercise questions.

Students must go through these tips before practicing the questions.

## Importance of Solving Ex 5.3 Class 10 Maths chapter 5 Arithmetic Progressions

There are many benefits of solving chapter 5 of ex 5.3 Class 10 maths.

1. Exercise 5.3 in class 10 maths is based on the sum of ‘n' terms of an Arithmetic Progression, which our experts explain.

2. If you study the NCERT solution for class 10 maths exercise 5.3 carefully, you'll get higher marks in exams.

3. NCERT solutions class 10 maths ex 5.3 help students solve and review all of the questions in the exercise.

4. It improves the students' confidence in solving arithmetic progression questions.

#### Frequently Asked Questions

Question 1. What is the formula for finding the sum of first ‘n’ terms of an AP in NCERT solutions class 10 maths chapter 5 ex 5.3 ?

Answer 1. The formula for finding the sum of first ‘n’ terms of an AP is:

S = n/2 [2a + (n-1)d]

Question 2. What types of questions do NCERT solutions cover in class 10 maths chapter 5 ex 5.3 ?

Answer 2. Chapter 5 ex 5.3 covers questions based on the concept of sum of first ‘n’ terms of an AP. To provide you with a comprehensive practice on the topic, there are standard questions in the exercise.There are direct formula based questions and a few word problems to help you understand the concept better.

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