NCERT Solutions Class 10 Maths Chapter 5 Arithmetic Progressions
NCERT solutions for class 10 maths chapter 5 Arithmetic Progressions help students explore the different types of patterns as well as the sequences which they must have observed in everyday lives, such as the patterns followed by petals of flowers or spirals on a pine cone.
The chapter explores these patterns in which by adding a certain number to the previous number or ‘term’, the succeeding ‘terms’ can be obtained. The use of this concept will be helpful for the students to solve daily life problems. Thus, the NCERT solutions class 10 maths chapter 5 includes an introduction to terminologies involved like the ‘term’, common differences between terms, and the general form of an arithmetic progression or an AP.
Following the concept of arithmetic progression, how ‘n’-th term and the sum of ‘n’ consecutive terms can be found out is explained through well illustrated examples. The fixed number which gets added to the number in order to get the sequence is called the ‘difference’. The detailed formulas and facts regarding the same can be found in the pdf of the Class 8 maths NCERT solutions chapter 5 Arithmetic Progressions given below and also you can find some of these in the exercises given below.
- NCERT Solutions Class 10 Maths Chapter 5 Ex 5.1
- 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 for Class 10 Maths Chapter 5 PDF
The understanding of the number system, as well as the patterns generated by them, is essential to understand in order to make sense of the things that are around us, and also to solve the day-to-day life problems. The NCERT solutions Class 10 Maths Chapter 5 has tried achieving the objective of teaching the arithmetic progression with the help of real-life examples and exercise questions based on the same. The exercise questions in each segment of the chapter can be accessed through the pdf links below :
☛ Download Class 10 Maths NCERT Solutions Chapter 5
NCERT Class 10 Maths Chapter 5
NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions
Mathematics majorly is the studying of the patterns around us and understanding as well as manipulating them to solve real-life problems. Hence, the way the number sequences behave is important to understand. The concept that adding or multiplying a fixed term results in a given sequence has multiple applications in all the spheres of life. Thus, the students must ensure to imbibe the learnings from this chapter as this will help in competitive exams too. A brief segregation of the questions in each section of the NCERT solutions Class 10 Maths Chapter 5 Arithmetic Progression is given below :
- Class 10 Maths Chapter 5 Ex 5.1 - 4 Questions
- Class 10 Maths Chapter 5 Ex 5.2 - 20 Questions
- Class 10 Maths Chapter 5 Ex 5.3 - 20 Questions
- Class 10 Maths Chapter 5 Ex 5.4 - 5 Questions
Topics Covered: The class 10 Maths NCERT solutions Chapter 5 covers a range of important topics such as the general form of AP, ‘n’th term of an AP or arithmetic progression, and the sum of the first ‘n’ terms of an arithmetic progression along with alternative solutions. This chapter also covers some important formulas based on the concept of AP.
Total Questions: Class 10 maths chapter 5 Arithmetic Progression consists of 49 questions curated by the experts. Out of these 49 problems, 20 are long answers, 20 are moderate questions, and 9 are easy questions.
List of Formulas in NCERT Solutions Class 10 Maths Chapter 5
NCERT solutions Class 10 Maths Chapter 5 covers various patterns, sequences, and their properties. The real world is full of sequences and patterns. Be it the arrangement of maize grains on the maize cob or the concept of natural numbers, one can spot arithmetic progressions almost everywhere. Apart from that, there are many situations in real life where this concept is useful in order to calculate values which are needed for future calculations etc. In order to solve arithmetic progressions, one must go through some of the easy formulas from this chapter mentioned below:
- Arithmetic progression formula: a + (n - 1) d where ‘a’ is the constant term, ‘n’ is the number of terms and ‘d’ is the common difference of the AP.
- The sum of the first ‘n’ terms of an arithmetic sequence can be determined using the formula : S = n/2 [2a + (n - 1)d]
FAQs on NCERT Solutions Class 10 Maths Chapter 5
Why are NCERT Solutions Class 10 Maths Chapter 5 vital for scoring well?
NCERT solutions Class 10 Maths Chapter 5 helps the students understand arithmetic progressions in the simplest manner. The solutions consist of questions based on the common observations of arithmetic progression in our surroundings. This chapter can boost the problem-solving abilities of a student with a wide variety of problems based on the examples from our day-to-day lives. Apart from that, this is one of the most scoring chapters of class 10 maths. Hence students must practice all questions from this chapter.
Do I Need to Practice all Questions Given in NCERT Solutions Class 10 Maths Arithmetic Progressions?
The NCERT Solutions Class 10 Maths Chapter 5 has thoughtfully curated real-life examples and exercise questions that will help the students to explore the concept of arithmetic progression in detail learning the essential basic terminologies and facts. Maths requires consistent practice in order to imprint the basic concepts in mind for a long time. Hence, it would be extremely beneficial for the students to practice all the questions, in order to develop a rock-solid foundation of the chapter, thereby also boosting their logical and reasoning skills.
What are the Important Topics Covered in Class 10 Maths NCERT Solutions Chapter 5?
Some of the important topics covered in NCERT solutions class 10 Maths Chapter 5 are the general form of an AP, how to find the ‘n’th term, the sum of ‘n’ terms of an AP, finite and infinite AP, proving and simplifying the given terms, and the meaning of the common difference.
How many questions are there in NCERT Solutions Class 10 Maths Chapter 5?
The NCERT Solutions contain a total of 49 well-curated questions. Some of these problems are based on real-life examples so that the concept is relatable and easy to understand. These problems include both practical as well as theoretical questions. Students can also refer to the solved examples given in the NCERT solutions class 10 chapter 5 for assistance.
How CBSE Students can utilize Class 10 Maths NCERT Solutions Chapter 5 effectively?
The NCERT Solutions Class 10 Maths Chapter 5 has well drafted examples with proper illustrations to explain the concept of arithmetic progression, also the exercise questions are based around the same examples so that the students can solve them easily. The chapter also has certain important facts in the ‘remarks’ section and the ‘highlights’ section of the book which the students can refer to in case of doubt. Thus, in order to utilize this chapter effectively it is advisable for the students to give a good read to the chapter and practice all the examples and exercise questions.
Why Should I Practice NCERT Solutions Class 10 Maths Chapter 5?
Practicing all the questions in the NCERT Solutions Class 10 Maths Chapter 5 will help the students identify patterns and sequences easily. Using arithmetic progressions, one can easily solve lengthy problems in seconds. Hence, it is advisable for the students to go through the formulas in the chapter carefully and learn their applicability with the help of solved examples.