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NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction: The fourth chapter of Class 11 Maths explains about the Principle of Mathematical Induction. In this article, we have provided NCERT Solutions prepared by Embibe’s subject experts as per the latest guidelines to help students score good in this chapter.
The NCERT Solutions for Class 11 Maths Chapter 4 have been prepared in a detailed step-wise manner to help students understand concepts and practise the in-text questions. Students can download the NCERT Solutions for Class 11 Maths to revise the solutions in offline mode as well. For better practice, one must understand the various concepts in Class 11 Maths Chapter 4. Read on to find more.
This chapter explains what mathematical induction is and how it works. This is explained with the help of examples. The principle of mathematical Induction states that to prove a statement about every natural number n, there are two things to verify. If the statement is true for n = k, it will be correct for its successor, k + 1. Besides, the sum of first n odd numbers is equivalent to the natural number nth square.
This topic explains the assumption that was made, based on certain universal facts. In simple language, one can say that induction means the generalisation of particular cases or facts. Students can check the important topics covered in NCERT Class 11 Maths Chapter 4 from the table below:
| Exercise No. | Important Topics |
|---|---|
| 4.1 | Introduction |
| 4.2 | Motivation |
| 4.3 | The Principle of Mathematical Induction |
We have provided some important points that are covered in NCERT Class 11 Maths Chapter 4 to help students in their exam preparations. Refer to the list below:
Students can get more important points for NCERT Class 11 Maths Chapter 4 Principle of Mathematical Induction on Embibe for free!
The NCERT Solutions for Class 11 Maths are listed below to help students with their exam preparations:
Ans: For the final exam of CBSE Class 11, the NCERT Maths is enough. Just make sure to solve previous year questions as well. However, for competitive engineering exams, like JEE (Main and Advanced, BITSAT, etc., you have to practice from some other advanced books as well.
Ans: Embibe provides free NCERT Solutions for 11th Maths all chapters for free.
Ans: Yes, all solutions provided by Embibe are available for free.
Ans: The principle of mathematical Induction states that to prove a statement about every natural number n, there are two things to verify. The process of proving a statement consists of two steps.
a. Base Step
b. Inductive step.
Ans: The NCERT Class 11 Chapter 4 have 3 topics and exercises, topics are as follows:
a. Introduction
b. Motivation
c. The Principle of Mathematical Induction
The free downloads of all the exercise solutions are provided in the article.
