Step 4:
Conclude that the result holds for all natural numbers..
Step I:
Denote the statement involving natural numbers n = 1, 2,. by P(n..
Summary
A sentence is called a statement if it can be adjudged as true or false. Every statement is a sentence, but a sentence may or may not be a statement. A statement involving natural number n is generally denoted by P(n). Principle of mathematical induction states that i..
Using Principle of Mathematical Induction
For any natural number n, prove tha..
For any natural number n, prove tha..General Series
1. To find the sum of first n natural numbers. ..
1. To find the sum of first n natural numbers. ..General Series General Series - 1. To find the sum of first n natural numbers. ..
General Series - 1. To find the sum of first n natural numbers. ..Rational and Irrational Numbers
Introduction - The sets of numbers which every student must remember are: The set of natural numbers, The set of whole numbers, The set of integers, The set of rational numbers, The set of irrational numbers, Set of Real Numbers,..
Sequences and Series
Sequence : A set of numbers arranged in a definite order according to some definite rule is called a sequence.A sequence is a function whose domain is the set N of natural numbers. Series : Indicated sum of the terms in a sequence is called a series. Th..
Summary
1. A sentence is called a statement if it can be adjudged as true or false. 2. Every statement is a sentence, but a sentence may or may not be a statement. 3. A statement involving natural number n is generally denoted by P(n..
Binomial Theorem
1. A sentence is called a statement if it can be adjudged as true or false. Every statement is a sentence, but a sentence may or may not be a statement. 2. A statement involving natural number n is generally denoted by P(n). 3. A binomial is an algebraic ex..
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