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 common difference. This ex 5.1 class10 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, a few terms of AP for the given first term, common difference and vice versa. The pdf of the class 10 maths chapter 5 exercise 5.1 Arithmetic Progressions can be found below :
☛ Download NCERT Solutions Class 10 Maths Chapter 5 Exercise 5.1 PDF
You can find ex 5.1 class 10 maths solutions by clicking on "Download PDF" button below.
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
Class 10th math ex 5.1 is all about observing and understanding patterns. Hence, the students must be well-versed in 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 → class 10 maths 5.1 will seem easy to the students if they aim at practising 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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NCERT Class 10 Maths Video Solutions Chapter 5 Exercise 5.1
| NCERT Videos for Class 10 Maths Chapter 5 Exercise 5.1 | |
|---|---|
| Question 1 | Question 3 |
| Question 2 | Question 4 |
FAQs on Ex 5.1 Class 10 Maths
What is Ex 5.1 Class 10 All About?
Ex 5.1 class 10 has 4 questions (each with subparts) and it deals with the following topics of arithmetic progressions:
- Question 1: Identifying whether a given real-life situation represents an arithmetic progression
- Question 2: Writing the first 4 terms of AP given its first term and common difference
- Question 3: Finding the first term and common differences of given AP
- Question 4: Identifying whether each of the given sequences is an AP, finding the common difference, and finding three more terms in it.
Is Class 10 Maths Chapter 5 Exercise 5.1 Easy?
Yes, it is easy as it is just about whether finding the given sequence is an AP, finding the common difference of arithmetic progression, and finding a few terms of it. But one needs to be good with operations on algebraic expressions and fractions to perform better with Ex 5.1 class 10.
How Many Questions Does Class 10th Math Ex 5.1 Have?
There are 4 questions in class 10 chapter 5 exercise 5.1:
- 1st Question has 4 subparts
- 2nd Question has 5 subparts
- 3rd Question has 4 subparts
- 4th Question has 15 subparts
Question 4 is very long with 15 subparts in it.
What Should the Students Practice Before Doing Ex 5.1 Class 10?
Before working on class 10 maths chapter 5 exercise 5.1, students should practice adding/subtracting/multiplying algebraic expressions. Also, a little practice is required to deal with fractions.