Number Series

Number Series

A number series is a series or sequence of numbers that follow a specific rule or set of rules. These series can be found in mathematical sequences, geometric shapes and other areas of mathematics and science.

Different Types of Number Series in Mathematics

Addition Series

Addition series is the most common number series. Here, we get the following number in the sequence by adding a constant to the previous number.

Example:

Subtraction Series

Subtraction series is the number series where we get the following number in the sequence by subtracting a constant from the previous number.

Example:

Multiplication Series

Multiplication series is a number series where we get the next number by multiplying a constant by the previous number.

Example:

Division Series

Division series is the number series where we get the next number by multiplying a constant by the previous number.

Example:

Square Number Series

A square number series is a series of square numbers where each number is a square of consecutive integers. When we multiply a number by itself, we get the square of that number.

Example: 1, 4, 9, 16, 25, 36…

Cube Number Series

Similar to a square number series, a cube number series is a sequence of cubes where each number is a cube of consecutive whole numbers. We get cubes when we multiply a number by itself thrice.

Example: 1, 8, 27, 64, 125, 216…

Triangular Number Series

A triangular number series is a type of dot series where we create a number sequence representing the number of dots required to form equilateral triangles.

Here, the sides of the triangles will have the same number of dots.

Fibonacci Number Series

The Fibonacci number series is a series of Fibonacci numbers. Starting with 0 and 1, the next number in the Fibonacci series is the sum of the previous two numbers.

The Fibonacci series is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34…

Prime Numbers Series

A prime number series is a series of prime numbers, which are natural numbers greater than 1 that can only be evenly divided by 1 and themselves.

Example: 2, 3, 5, 7, 11, 13,17,19, ….

Composite Numbers Series

A composite number series is a sequence of numbers in which each term is a composite number, a positive integer greater than 1 with more than two divisors.

Example: 4, 6, 8, 9,10,12, 14,15,16,18, 20, ….

Odd Numbers Series

An odd number series is a sequence of numbers where each number in the series is an odd number. An odd number is any integer that is not divisible by 2 and leaves a remainder of 1 when divided by 2.

Example: 1, 3, 5, 7, 9, ….

Even Numbers Series

An even number series is a sequence of numbers where each number is an even number. An even number is a number that is divisible by 2 without leaving a remainder, which means that the last digit of an even number is either 0, 2, 4, 6 or 8.

Example: 2, 4, 6, 8, 10, ….