[Full Details] What are Even and Odd Numbers?

Numbers are not only a crucial part of mathematics but also play a vital role in our everyday life to count things. Numbers (more specifically integers) are classified into even and odd numbers. In this section, we will learn them together. If you are interested to know them separately then visit our pages below: Even … Read more

Odd Numbers: Definition, Properties and Examples

Numbers are very useful in our daily life to count many things. By the divisibility rule of 2, we can classify numbers (integers) as follows: even numbers and odd numbers.  Note that even numbers are completely divisible by 2 whereas odd numbers are not divisible by 2 that leaves the remainder 1. In this section, … Read more

Even Numbers: Definition, Properties, Examples

Numbers play a very crucial role in the world of mathematics, even in our daily life to count things. Note that 4 can be divided into two equal parts, but 5 cannot. Here 4 is an even number, but 5 is not. So we can say that numbers have types. There are two types of … Read more

Sum of squares of natural numbers

In this section, we will discuss the formulas of the sum of the squares of natural numbers. These formulas are very useful in various competitive exams. Sum of squares of first n natural numbers: The sum of squares of consecutive natural numbers is determined by the formula below: Prove that:$1^2+2^2+3^2+\cdots+n^2$ $=\dfrac{n(n+1)(2n+1)}{6}$ Proof: Let $S$ denote … Read more