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## CBSE Guide Principles Of Mathematical Induction class 11 Notes

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## Principles Of Mathematical Induction class 11 Notes Mathematics

Download CBSE class 11th revision notes for Chapter 4 Principles Of Mathematical Induction class 11 Notes Mathematics in PDF format for free. Download revision notes for Principles Of Mathematical Induction class 11 Notes Mathematics and score high in exams. These are the Principles Of Mathematical Induction class 11 Notes Mathematics prepared by team of expert teachers. The revision notes help you revise the whole chapter in minutes. Revising notes in exam days is on of the best tips recommended by teachers during exam days.

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**CBSE Class 11 Mathematics Revision Notes Chapter-4 PRINCIPLE OF MATHEMATICAL INDUCTION**

- One key basis for mathematical thinking is deductive reasoning. In contrast to deduction, inductive reasoning depends on working with different cases and developing a conjecture by observing incidences till we have observed each and every case. Thus, in simple language we can say the word ‘induction’ means the generalisation from particular cases or facts.
**Statement**: A sentence is called a statement, if it is either true ot false.**Motivation**: Motivation is tending to initiate an action. Here Basis step motivate us for mathematical induciton.**Principle of Mathematical Induction**: The principle of mathematical induction is one such tool which can be used to prove a wide variety of mathematical statements. Each such statement is assumed as P(n) associated with positive integer n, for which the correctness for the case n = 1 is examined. Then assuming the truth of P(k) for some positive integer k, the truth of P (k+1) is established.**Working Rule**:

**Step 1**: Show that the given statement is true for n = 1.

**Step 2**: Assume that the statement is true for n = k.

**Step 3**: Using the assumption made in step 2, show that the statement is true for n = k + 1. We have proved the statement is true for n = k. According to step 3, it is also true for k + 1 (i.e., 1 + 1 = 2). By repeating the above logic, it is true for every natural number.

## The Principles Of Mathematical Induction class 11 Notes

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