# NCERT Solutions Class 10 Maths Chapter 5 Exercise 5.1 Arithmetic Progressions

NCERT solutions for class 10 maths chapter 5 exercise 5.1 Arithmetic Progressions starts with a few examples of sequences that will help the students identify how the different number patterns look like. The chapter further explains what is a ‘term,’ ‘common difference,’ etc., in the arithmetic progression. The students will learn that an arithmetic progression is a sequence of numbers where each term can be found out by adding a fixed value to the preceding term, leaving aside the first term.

This fixed value or the number is called the ‘common difference’; this value can be positive, negative, or zero. The students must remember that the general form of an arithmetic progression is a, a + d, a + 2d, a + 3d, . . . , where ‘d’ is the common difference. This NCERT solutions class 10 maths chapter 5 exercise 5.1 illustrates the finite and infinite arithmetic progression through relevant examples, where the difference between them is that a finite AP has a last term, while an infinite AP does not have a last term. This exercise has 4 questions that cover the topic very well. The students are asked to identify sequences which are AP, the first few terms of AP for the given first term, common difference and vice versa. The pdf of the class 10 maths NCERT solutions chapter 5 exercise 5.1 Arithmetic Progressions can be found below :

**ā** Download NCERT Solutions Class 10 Maths Chapter 5 Exercise 5.1

**Exercise 5.1 Class 10 Chapter 5 **

### More Exercises in Class 10 Maths Chapter 5

- NCERT Solutions Class 10 Maths Chapter 5 Ex 5.2
- NCERT Solutions Class 10 Maths Chapter 5 Ex 5.3
- NCERT Solutions Class 10 Maths Chapter 5 Ex 5.4

## NCERT Solutions Class 10 Maths Chapter 5 Exercise 5.1 Tips

NCERT solutions class 10 maths chapter 5 exercise 5.1 Arithmetic Progressions is all about observing and understanding patterns. Hence, the students must be well-versed with the number system and also having quick mental math skills will be an added benefit while solving the problems in this exercise.

NCERT solutions class 10 maths chapter 5 exercise 5.1 will seem easy to the students if they aim at practicing all the examples in the chapter which will deepen their understanding regarding positive and negative arithmetic progression, and finite, infinite AP’s. It will also help them memorize the facts like the difference between two terms is always constant, and this common difference is denoted by ‘d’. If the difference between the two terms is positive, it’s an increasing AP. On the other hand, if the difference is negative, the AP is decreasing.

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