Class 10 Maths NCERT Video Solutions Chapter 5: Arithmetic Progressions | CBSE 2026-27 Update.

Class 10 Maths NCERT Solutions Chapter 5 Arithmetic Progressions CBSE 2026-27 Update

Class 10 Maths Chapter 5 Arithmetic Progressions is an important chapter for students preparing for the CBSE Class 10 Maths 2026-27 examination. In this chapter, students learn about arithmetic progressions, the general term of an AP, and the sum of the first n terms of an arithmetic progression.

To help students understand the chapter clearly, Future Study Point brings you complete Class 10 Maths Chapter 5 NCERT Solutions with step-by-step explanations. The solutions are explained in a simple and easy-to-understand manner so that students can learn the concepts and solve NCERT questions confidently.

In this post, you will find video solutions for all four exercises of Chapter 5:

Exercise 5.1 – Arithmetic Progressions
Exercise 5.2 – General Term of an AP
Exercise 5.3 – Sum of the First n Terms of an AP
Exercise 5.4 – Applications of Arithmetic Progressions

You can watch each video below and solve the questions along with the explanation.

Class 10 Maths Chapter 5: Arithmetic Progressions

An Arithmetic Progression (AP) is a sequence of numbers in which the difference between any two consecutive terms is constant. This constant difference is called the common difference.

For example:

2, 5, 8, 11, 14, …

Here, the common difference is:

5 − 2 = 3

8 − 5 = 3

Therefore, the common difference is 3.

In Class 10 Maths, students learn how to identify an arithmetic progression, find its common difference, calculate the nth term, and find the sum of the first n terms of an AP.

The chapter also includes several important application-based questions that help students understand how arithmetic progressions can be used to solve real-life mathematical problems.

Let’s now look at the solutions to each exercise.

Exercise 5.1 – Class 10 Maths Arithmetic Progressions

Exercise 5.1 introduces students to the basic concept of Arithmetic Progressions. In this exercise, students learn how to identify whether a given sequence is an AP and find the common difference between consecutive terms.

Understanding the concept of common difference is very important because it forms the foundation for solving the remaining exercises of this chapter. Students should carefully understand how the terms of an arithmetic progression are arranged and how the common difference remains constant.

Watch the complete Exercise 5.1 NCERT Solution video below for a detailed, step-by-step explanation of all the questions.

Exercise 5.2 – Class 10 Maths Arithmetic Progressions

In Exercise 5.2, students move forward and learn how to find the nth term of an Arithmetic Progression. The general formula for finding the nth term is an important concept that students should understand thoroughly.

The formula is:

aₙ = a + (n − 1)d

where:

a = first term of the AP

d = common difference

n = number of terms

aₙ = nth term of the AP

This exercise contains questions that require students to apply the formula correctly and identify the given values carefully. Understanding this exercise will also help students solve many important questions asked in school examinations and CBSE board examinations.

Watch the complete video solution below to understand Class 10 Maths Exercise 5.2 step by step.

Exercise 5.3 – Class 10 Maths Arithmetic Progressions

Exercise 5.3 focuses on finding the sum of the first n terms of an Arithmetic Progression. This is one of the most important concepts in Chapter 5 and requires students to understand and apply the correct formula.

The formula for finding the sum of the first n terms is:

Sₙ = n/2 [2a + (n − 1)d]

where:

Sₙ = sum of the first n terms
n = number of terms
a = first term
d = common difference

Students should pay special attention to identifying the first term, common difference, and number of terms before substituting values in the formula.

Watch the complete Exercise 5.3 NCERT Solution video below to learn how to solve the questions step by step.

Exercise 5.4 – Class 10 Maths Arithmetic Progressions

Exercise 5.4 helps students apply the concepts of Arithmetic Progressions to different mathematical and real-life situations. The questions may require students to use concepts such as the nth term and the sum of the first n terms of an AP.

This exercise is particularly useful for developing problem-solving skills because students need to carefully understand the information given in each question before selecting the appropriate formula.

Before solving these questions, make sure that you are comfortable with the concepts covered in Exercises 5.1, 5.2, and 5.3.

Watch the complete Class 10 Maths Exercise 5.4 NCERT Solution video below for a detailed explanation of the questions.

Important Formulas of Arithmetic Progressions

For quick revision, students should remember the following important formulas from Class 10 Maths Chapter 5:

nth Term of an AP

aₙ = a + (n − 1)d

Sum of First n Terms of an AP

Sₙ = n/2 [2a + (n − 1)d]

Sum of First n Terms When Last Term is Known

Sₙ = n/2 (a + l)

where:

a = first term

d = common difference

n = number of terms

l = last term

aₙ = nth term

Sₙ = sum of first n terms

Students should practise using these formulas in different types of questions to become confident with the chapter.

How to Prepare Class 10 Maths Chapter 5 for CBSE 2026-27

To prepare Arithmetic Progressions effectively, follow these simple steps:

Read and understand the basic concept of an Arithmetic Progression.
Learn how to find the common difference.
Practise identifying the first term and common difference.
Understand the formula for the nth term.
Practise questions based on the sum of the first n terms.
Solve all NCERT questions from Exercises 5.1 to 5.4.
Revise all important formulas regularly.
Try solving questions without looking at the solution.
Review your mistakes and understand where you went wrong.
Practise additional questions after completing the NCERT exercises.

The NCERT textbook should be an important part of your preparation because it helps you build a strong foundation in the concepts required for Class 10 Maths.

Watch More Class 10 Maths Video Solutions

If you are preparing for CBSE Class 10 Maths 2026-27, you can watch more chapter-wise NCERT solutions and important questions on the Future Study Point YouTube channel.

The videos are designed to help students understand mathematical concepts through detailed explanations and step-by-step solutions.

Subscribe to Future Study Point on YouTube and turn on the notification bell 🔔 so that you don’t miss new Class 10 Maths NCERT Solutions, important questions, and CBSE exam preparation videos.