NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions include stepwise solutions for all the unsolved problems. NCERT textbooks for Class 10 Maths helps in building a solid conceptual foundation for the students. You must practise every chapter from the NCERT Class 10 Maths book for board exam preparation as well as for competitive exams. The askIITians experts have provided detailed NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions so that you can resolve all your doubts and understand all concepts of this chapter easily.
Chapter 5 Arithmetic Progressions of Class 10 Maths helps you understand how arithmetic progressions are formed, how to find the first n terms of an arithmetic progression, and the common difference. In some questions, you have to identify if the given sequences are in the form of an AP or not. It also includes finding the sum of n terms in an arithmetic progression. In some questions, you are given word problems where you have to form the arithmetic progression by yourself and find the required terms. Let us see how you can download the NCERT Solutions of all exercises of the Arithmetic Progressions chapter.
Arithmetic Progression: An arithmetic progression or AP is a list of numbers in which each term is obtained by adding a fixed number to the preceding term except the first term.
It is given by: a1 , a2 , a3 , . . ., an or a, a + d, a + 2d, a + 3d, . .
Common Difference: The fixed number that is added to each term of a list of numbers except the first term to form an AP is called the common difference of the AP. It can be positive, negative or zero.
It is given by: a2 – a1 = a3 – a2 = . . . = an – an – 1 = d, where d is the common difference.
The nth term of an AP: The nth term of the AP with first term a and common difference d is given by an = a + (n – 1) d.
The sum of first n terms of an AP: It is given by the following formula
S = n/2 [2a (n-1)d]
S = n/2 [a +a (n-1)d]
S = n/2 [a +an]
Let an = l
S = n/2 [a + l]
Sum of n positive integers is given by:
Sn = n(n+1)2
There are 4 exercises in this chapter and all of them are important for students. You must practise each exercise carefully as it will help you understand the various concepts introduced in this chapter. askIITians provides you with exercise-wise solutions for this chapter.
NCERT Solutions for Class 10 Maths Chapter 5 Ex 5.1
The first exercise of this chapter is based on the introduction of arithmetic progressions. There are 4 questions in this exercise and each question has various subparts. With this exercise, you will be able to practise how to formulate arithmetic progressions for different situations, how to write the first n terms of an AP when you are given the first term and the common difference, and how to identify if a given sequence is an arithmetic expression or not. Download stepwise solutions of this exercise from the links given below.
NCERT Solutions for Class 10 Maths Chapter 5 Ex 5.2
The second exercise of this chapter deals with finding the nth term of an AP and its applications. This exercise includes 20 questions. There are short answer type questions like fill in the blanks, choose the correct option, find the missing terms, as well as long answer type questions such as word problems. Find how to solve the questions of this exercise in a step by step manner with our NCERT Solutions.
NCERT Solutions for Class 10 Maths Chapter 5 Ex 5.3
The third exercise of this chapter deals with finding the sum of the first n terms of an AP. This exercise includes 20 questions and most of them are word problems where you have to read the situation and analyse it to formulate arithmetic progressions. The exercise also includes many application-based questions which students find a little difficult to answer. Our NCERT Solutions will help you understand all such questions with ease.
NCERT Solutions for Class 10 Maths Chapter 5 Ex 5.4
This is probably the most difficult exercise of the chapter. The fourth exercise of the Arithmetic Progressions chapter is an optional exercise which means that the questions in this exercise are just for practice purposes and will not be asked in the examination. There are 5 questions in this exercise based on miscellaneous concepts that you have studied in this chapter. All these questions are of advanced level. Master this exercise easily with the help of our detailed NCERT Solutions.
Noteworthy features of NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions by askIITians:
1. How many questions are there in NCERT Class 10 Maths Chapter 5 Arithmetic Progressions?
There are 16 solved examples and 49 unsolved problems in NCERT Class 10 Maths Chapter 5 Arithmetic Progressions. You can find stepwise solutions for all the unsolved questions of this chapter on the askIITians website.
2. How to study Chapter 5 Arithmetic Progressions?
askIITians provides various study resources that will help you understand all the topics included in Chapter 5 Arithmetic Progressions such as revision notes, NCERT Solutions, extra questions, daily practice papers, previous year questions and much more. Download all these study materials from our website and start learning.
3. I need more help in Class 10 Maths. What should I do?
askIITians provides live, interactive classes where students can learn from our experts and master all the concepts of Class 10 Maths. To know more about our online coaching services, connect with our customer support team.