NCERT Solutions for Class 10 Maths Chapter 5 – Arithmetic Progressions
Get your hands on the solution of chapter 5 “Arithmetic Progressions” from NCERT textbook of class 10th Mathematics, provided by the expert educators of Career Point. These solutions of CBSE class 10th maths fifth chapter are thoroughly updated as per the latest NCERT Syllabus.
You can download the PDF of NCERT Solutions for Class 10 Mathematics Chapter 5 – Arithmetic Progressions from this page. It will serve you as a reference/help material whenever you got stuck while solving questions of this chapter. Students are advised to refer to the step of solutions and grasp the way to solve the questions as depicted in the Solutions of CBSE class 10th maths fifth chapter – Arithmetic Progressions.
Click here to get all the solutions of CBSE class 10th Maths fifth chapter as per the latest NCERT Syllabus.
NCERT Solutions for Class 10 Maths Chapter 5 – Arithmetic Progressions
The Maths Chapter 5 Arithmetic Progression covers the following topics:
- Introduction
- Arithmetic Progressions
- Nth Term of an AP
- Sum of first n terms of an AP
Introduction
In chapter 5 Class 10 Maths, students will get to know that there are certain patterns that exist around them in nature, for example, honeycomb holes, sunflower petals, etc. Some of these patterns can also occur in day to day life as well and there are various examples that can help students in getting a better idea that what arithmetic progressions are all about. In the Class 10 Maths Chapter 5, let’s take an example to understand the concept. For example, Mathew applied for a job and she got selected. In the first month of the job, she has been offered a salary of 800$ and there will be an annual increment of 100$ in his salary. So, his salary for the 1st, 2nd, 3rd, 4th and so on years will respectively be 500$, 600$, 700$ and so on.
In the above example, the student might have noticed a certain pattern. So, in all such similar examples, students can find that the succeeding terms are obtained when a fixed number gets added or it gets multiplied by a fixed number, etc. In chapter 5, students will get a chance to discuss and learn one of these patterns where succeeding terms are obtained by adding the fixed number to the preceding terms. They will also find the nth term and how they can calculate the sum of n consecutive terms. They can use this knowledge in solving the problems in their day-to-day life as well.
Students can download the Arithmetic Progression Class 10 PDF format chapter by visiting the official website and they can download the pdf where they will get to know more about the chapter through the introduction paragraph and it can help in solving the exercise.
Students can also download the PDF for the Arithmetic Progression Class 10 solutions which are prepared by the highly qualified experts of Career Point and this can help in solving the exercise with ease. By doing so, students will get help in finding the appropriate solution for the right question. They will get to know more about the various terms associated with it. With the help of NCERT Solutions of Maths Class 10 chapter 5 prepared by the highly experienced experts, students will be able to clear the examination with flying colors and they get a very thorough knowledge about what chapter is all about.
Arithmetic Progressions
In the arithmetic progression Class 10 chapter, students will get to know about various terminologies associated with the AP. Let’s take an example to get a better idea of what’s being talked about.
-3, -2, -1, 0, 1, 2, 3 and so on.
3, 3, 3, 3, 3, and so on.
Each number in the example above is called a term. When a given term is given in the list and students will be asked to write the next one then they should understand the pattern in the list and following the rules and their observation they can then write it. By understanding it, one can draft the rule accordingly so that they can have more insight on what is being talked about in Arithmetic progression and using the rule they can easily solve the questions.
Well, further in the chapter, the student will learn about the list of successive numbers which are obtained by adding a fixed number to the preceding number and such a list of numbers is called Arithmetic Progression. Another terminology to be learned is the common difference that exists between the number and it remains constant throughout the AP. It can be positive, negative and zero depending on the successive terms of the list.
Various experts have outlined them with complete proficiency so that it will become easy for students to learn the concepts and understand the fundamentals of the chapter. In order to score good marks in the exam, students can ask all types of questions from the experts at Career point and get a much better understanding of the whole chapter. It can help them in studies as well as doing some calculations in everyday life. By following a certain example, students will get a good grip on the chapter.
Nth Term of an AP
In this part of the Arithmetic progression chapter, students will get to know about the nth term in AP. There are various examples in the chapter which can help in understanding the situation and how the nth term plays its part. Students may have already got some ideas from the previous examples from the way the questions are getting discussed. Students will get to learn about the formulas which can be helpful in following the pattern and solve them. It is very important for students to note it down and try solving the questions using the formula. All they have to remember or look for is what is the first term and common difference in the given question and using the formula they will find out that has gone missing. You will learn about what the general term is and how it gets denoted.
When students start following the Class 10 Maths NCERT Solutions Chapter 5 prepared by the highly experienced professionals and experts of Career Point, students will have the opportunity to learn the topic in the most natural way and understand how the associated formulas are being obtained. They will also see how using them a solution to a question can be derived out. The CBSE NCERT Solutions Class 10 chapter 5 also offers solutions to all the exercises in the chapter. Students can get the sample papers from the Career Point to practice more and clear all the doubts. By doing so, they will progress in the right direction and they will score well in their exam. All they need to do is keeping themselves posted and continually look for the latest solutions, sample papers, question papers related to the topic that they are looking for.
Sum of the first n terms of an AP
In the NCERT Solutions for Class 10 Maths Chapter 5 PDF version, this final segment of the chapter will talk about the formula which is derived from the provided information. This form of the result is useful in solving the question when a common difference is not provided and only information related to the first and last term is mentioned in the given arithmetic progression. There are various examples available in the NCERT book which can help the students to walk through the topics easily and with great understanding.
In the examples, students will get to see that there are some flexible terms that can be denoted in more than one form. Some of the terms and their forms annotate to what is being discussed in the question which will all be in words only. Students will have to curate them into an equation form. The formula for the first n terms of the sum involves the four quantities.
About Career Point
Students can get great help from the free online PDF for chapter 5 Class 10 Maths NCERT Solutions which is being designed by the CP experts who are highly experienced. All students have to do is download the revision material and use it as often as they want. Students can reach to experts anytime on the online platform, Career Point where they can get a chance to talk about their queries, doubts, etc. and they will be provided with easiest and effective solutions and tips.
