## Class 10 Maths Revision Notes for Arithmetic Progressions of Chapter 5 - Free PDF Download

Arithmetic Progressions Class 10 Notes CBSE Maths Chapter 5 (Free PDF Download)

## FAQs on Arithmetic Progressions Class 10 Notes CBSE Maths Chapter 5 (Free PDF Download)

1. Find the Sum of the First Ten Numbers of this Arithmetic Series: 1, 11, 21, 31?

We can use this formula:

S = 1/2 (2a_{1} + d(n-1))n

Given a_{1} = 1, d = 10, n = 10

S = 1/2 (2.1 + 10(10-1))10 = 5(2 + 90) = 5.92 = 460

2. The First Three Terms of A.P. are (3y − 1). (3y + 5) and (5y + 1). Then y Equals to?

Given that, The first three terms of A.P. are (3y − 1), (3y + 5), (5y + 1).

Therefore,

2(3y + 5) = 3y − 1 + 5y + 1

⇒ 6y + 10 =8y

⇒ 2y = 10

⇒ y = 5

Hence, the value of y is 5.

3. What is an arithmetic progression according to Revision Notes of Chapter 5 of Class 10 Maths?

An arithmetic progression is a list of numbers in which each individual term of the progression can be obtained by adding a fixed number to the preceding term. This can be followed for all terms except the first term. This fixed number that is added to the aforementioned terms is known as the common difference of the Arithmetic Progression (AP). The common difference can be either positive, negative or zero.

4. What are finite and infinite APs according to Revision Notes of Chapter 5 of Class 10 Maths?

In some arithmetic progressions, there are only a finite number of terms. The last term is part of the sequence with the help of which the total number of terms can be counted. This is called a finite AP. In contrast to this, some APs do not have a last term and the total number of terms cannot be counted either. These are referred to as infinite APs. For more information on different types of APs, you should check out Revision Notes of Chapter 5 of Class 10 Maths by Vedantu. They are free of cost and also available on Vedantu mobile app.

5. How many exercises in total are present in Chapter 5 of Class 10 Maths?

In chapter 5 of the NCERT Class 10 Maths textbook, four exercises are present in total. The first exercise asks you to identify whether the sequence provided is an AP and extract the first term a and the common difference d. Exercise 5.2 deals with more questions asking you about the nth term of the AP. Exercise 5.3 is all about the summation of the first n terms of an AP while exercise 5.4 is optional.

6. Where can I get Revision Notes of Chapter 5 of Class 10 Maths?

Vedantu is known to have the best repository of all study material that can ever be required by students of any class. They provide quality content curated by expert teachers across the nation with years of teaching experience. For Class 10 Maths too, you can rely on Vedantu. Download Revision Notes of Class 10 Maths for Arithmetic Progressions free of cost.

7. Why is Chapter 5 of Class 10 Maths important?

Studying Arithmetic Progression helps you analyse certain patterns that present themselves in our daily life. An AP is a sequential pattern of numbers in which the difference between consecutive terms is constant. This chapter lays the foundation for several chapters taught in higher classes too. Although only basics are taught in Class 10, it is important to understand each concept taught to you in order to do well in exams too.