Principle of Mathematical Induction – Notes
A statement that has a definite truth value, that is, true or false, is called a mathematical statement
Deductive reasoning involves logical steps to arrive upon a particular case from a general case.
An Inductive reasoning is the counter part of deductive reasoning.
The principle used to prove mathematical statements, formulae and results involving positive integers are called the principle of mathematical induction.
Application of Mathematical Induction
The principles of mathematical induction:
Let P (n) be a statement, where n is a natural number, such that: