Definition (Sequence): A set of numbers arranged in a definite order according to some definite rule (or rules) is called a sequence. Each number of the set is called a term of the sequence. A sequence is called finite or infinite according as the number of terms in it is finite or infinite. The different […]

## Framing Formulas

Definition: A formula is a relation between certain quantities. For example, if side of a square then its perimeter can be expressed by the following formula which we already know, i.e., . This formula shows the relationship between the side of a square and the perimeter of a square. If we know the values of […]

## Indices

Base and Index: If a real number is multiplied times in succession (where is a positive integer) then the product so obtained is called the -th power of and is written as (read as, to the power ). Thus, ….to factors. Here, is called the base of and is called the index or exponent […]

## Different Type of Sets

Understanding type of sets examples. Finite Set, Infinite Set, Empty set, Singleton Set, Pair Set, Universal Set, Cardinal Number of a Set, Equivalent Sets, Subsets,Equal Sets

## Mathematical Induction

Induction begins by observations, and from observations we arrive at some tentative conclusions, conjectures. A conjecture may be true or false. The principle of mathematical induction helps us in proving some of these conjectures which are true.

## Simultaneous Equations

How to Solve simultaneous equations with Method of Substitution, Method of Elimination, Method of Comparison

## Problems Leading to Simple Equations

The chief difficulty in solving an algebraic problem lies in expressing correctly the condition of the problem by means of symbols.

## Rational and Irrational Numbers

In this article we shall extend our discussion of Rational and Irrational Numbers and explain in detail properties of Rational and Irrational Numbers.

## Simple Formulae and their Application

In the article Simple Formula and their Applications I we dealt with algebraic formulas in the second degree, i.e., formulas related to perfect squares and the sum and difference of two squares. In this article we will be covering the algebraic formulas in the third degree, i.e., formulas related to perfect cubes and the sum […]

## Simple Equations in One Variable

When one expression is equal to another, the equality of these expressions may hold either for all values of the unknown variables involved or for some particular values of the variables involved. In the former case it is called an identity and in latter case it is called an equation.