NCERT Exemplar Class 11 Maths Chapter 4 Principle of Mathematical Induction, are provided here for students to practice and prepare for the exam. For students to make it easy for them to learn the concepts explained in this chapter, NCERT exemplar problems with solutions for chapter 4 Principle of Mathematical Induction are provided here. These exemplar problems are prepared by our experts in accordance with CBSE syllabus (2018-2019) and curriculum.
Class 11 Maths NCERT Exemplar Problems on Principle of Mathematical Induction
In chapter 4, students will learn and solve exemplar problems based on the Principle of mathematical induction. If S(n) is a given statement, where n is the natural numbers, then;
- The statement is true for n = 1, i.e., S(1) is true
- If the statement is true for n = k (where i is some positive integer), then the statement is also true for n = i + 1, i.e., the truth of S(k) implies the truth of S(i + 1).
Then, S(n) is true for all natural numbers n.
The Principle of Mathematical Induction is a technique used as a proof in mathematics. The major function of this principle is used as a defining property for every natural number such as 1,2,3,4 etc. The principle can effectively be proved with the help of two cases which are the base case and the induction step. It is defined as the property which holds for the number 0. On the other hand, the property for one natural number ‘n’ and the next natural number is ‘n+1’.
The pdf of chapter 4, exemplars can be downloaded and practised offline as well and can also be used as a reference tool while preparing for final exams. The NCERT Exemplar for Class 11 Maths Chapter 4 Principle of Mathematical Induction PDF can be found below for free download:
The solved questions in exemplar of Maths class 11 chapter 4 will help students to know the methods for solving problems based on the Principle of Mathematical Induction. We are also providing on our website, withNCERT solutions, notes and question papers online for free for 11th standard students. Solving previous year question papers and sample papers of 11th class Maths subject, will let them know the question pattern and marking scheme for chapter 4, Principle of Mathematical Induction.
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