NCERT Class 10 Math Chapter 5: समांतर श्रेढियाँ PDF Download

NCERT Class 10 Math Chapter 5 समांतर श्रेढियाँ (Arithmetic Progressions) introduces students to sequences where the difference between consecutive terms is constant. This chapter explains how to identify an arithmetic progression (AP), calculate its general term, and find the sum of the first n terms. The concept is simple yet very important, as it helps

NCERT Class 10 Math Chapter 5 समांतर श्रेढियाँ (Arithmetic Progressions) introduces students to sequences where the difference between consecutive terms is constant. This chapter explains how to identify an arithmetic progression (AP), calculate its general term, and find the sum of the first n terms. The concept is simple yet very important, as it helps students in both algebra and practical applications such as calculating savings, predicting patterns, or analysing growth.

I chose to write about this chapter because arithmetic progressions are not just a school-level topic but also a concept widely used in real life. Whether it is planning loan repayments, checking daily wages, or predicting the cost of goods over time, APs play a role in many areas. For students, this chapter is scoring in the Class 10 board exams because once you learn the formulas and their applications, solving problems becomes very easy. I remember when I was preparing, this chapter gave me confidence because the problems were straightforward and based on formulas. That is why having the NCERT PDF is essential, as it provides examples, exercises, and real-life application questions that strengthen preparation.

Key Topics in Chapter 5 समांतर श्रेढियाँ

This chapter builds step by step, covering the following points:

Definition of Arithmetic Progression (AP) – A sequence where the difference between consecutive terms is constant
Common Difference (d) – The fixed number added or subtracted to get the next term
General Term (nth term) – an = a + (n – 1)d
Sum of First n Terms (Sn) – Sn = n/2 [2a + (n – 1)d] or Sn = n/2 (a + l)
Applications of AP – Problems based on daily life such as calculating distances, savings, or growth in earnings

Example for Better Understanding

Suppose the first salary of a worker is ₹5000, and it increases by ₹500 every year. This forms an AP with:

a = 5000
d = 500
nth term gives salary in the nth year
Sn gives total earnings in n years

Download PDF

You can download NCERT Class 10 Math Chapter 5: समांतर श्रेढियाँ PDF directly from this website.

NCERT Class 10 Math Chapter 14: प्रायिकता PDF Download

NCERT Class 10 Math Chapter 14 प्रायिकता (Probability) introduces students to the concept of chance and likelihood of events. In this chapter, students learn how to calculate the probability of simple events using the formula P(E) = Number of favourable outcomes ÷ Total number of outcomes. The chapter deals with real-life examples like tossing a

NCERT Class 10 Math Chapter 14 प्रायिकता (Probability) introduces students to the concept of chance and likelihood of events. In this chapter, students learn how to calculate the probability of simple events using the formula P(E) = Number of favourable outcomes ÷ Total number of outcomes. The chapter deals with real-life examples like tossing a coin, rolling a dice, or drawing cards, which makes the subject more interesting and practical. Since probability questions are common in board exams and are generally considered easy, this chapter is highly important for scoring well.

I am writing about this topic because probability is not only an important part of the Class 10 syllabus but also a concept that students will use in higher studies and real life. From predicting weather conditions to calculating risks in business, probability plays a key role. Many students initially find it confusing, but NCERT presents it in a simple and easy-to-understand manner. By practising from the NCERT book, students can build a strong foundation and develop confidence in solving probability problems. Having the PDF makes it easier for learners to access the chapter anytime, revise formulas, and attempt practice questions before exams.