MATHEMATICAL INDUCTION
PRINCIPLE OF MATHEMATICAL INDUCTION The process of drawing a valid general result from particulat result is called the process of induction. The principle of mathematical induction{PMI} is a mathematical process which is used to establish the validity of a general result involving natural numbers. Statement A sentence is called statement if it is either true or false but not both . Example-"two plus five is equal to seven"" is a statement because the sentence true. A statement concerning the natural number 'n' is generally denoted by (n) Example- If P(n)) denotes the statement : ''n(n+1) is an even number'', then P(2)=2(2+1)=6 is an even number and P(5)=5(5+1)=30 is an even numer etc.. here P(2) & P(5) both true. THE PRINCIPLE OF MATHEMATICAL INDUCTION If P(n) is a st