# Class 11 Maths Revision Notes for Principle of Mathematical Induction of Chapter 4 – Free PDF Download

Free PDF download of Class 11 Maths revision notes & short key-notes for Principle of Mathematical Induction of Chapter 4 to score high marks in exams, prepared by expert mathematics teachers from latest edition of CBSE books.

Chapter Name | Principle of Mathematical Induction |

Chapter | Chapter 4 |

Class | Class 11 |

Subject | Maths Revision Notes |

Board | CBSE |

TEXTBOOK | MatheMatics |

Category | REVISION NOTES |

**CBSE Class 11 Maths Revision Notes for Principle of Mathematical Induction of Chapter 4**

- 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.