Consecutive Numbers Examples
Suppose there is a series of numbers i.e. 1, 2, 3, 4, 5, 6 . . . These numbers have the same difference between them. Each number has a difference of 1. So these all are consecutive numbers.
According to another concept, if we took the number “3” from this series. The predecessor of 3 is 2 while its successor is 4. Here the difference between 3-2 = 1 and 4-3 = 1 is also the same. In this way, it is also proved that these are consecutive numbers.
The idea of successor and predecessor is very important in finding Consecutive Numbers. So now let’s begin with Successor and Predecessor.
Successor and Predecessor
Idea of successors and predecessors, helps us understand numbers that come one after the other. Let’s take a look at natural numbers as an example.
Natural numbers are 1, 2, 3, 4, 5, 6,…
- The successor of a number is the number that is one greater than the previous number, i.e. successor of n is n+1
- The predecessor of a number is the number that is one lesser than the next number, i.e. predecessor of n is n-1
Thus, consecutive numbers are found using the concept of successor.
Consecutive Numbers in Maths
Consecutive Numbers are the numbers that are next to each other in a queue. These numbers always consist of a difference of 1. The first step to understanding consecutive numbers is to be familiar with the number system.
In mathematics, numbers that sequentially follow one another from smallest to largest are known as consecutive numbers. This means that each number in the sequence is followed immediately by the next number without any gaps. For example, the consecutive numbers from 1 to 8 are 1, 2, 3, 4, 5, 6, 7, and 8.
In this article, we will understand the definition of consecutive numbers in maths followed by some basic examples, consecutive numbers from 1 to 100, their types, properties, formulas, how to find consecutive numbers, etc.
Table of Content
- What are Consecutive Numbers?
- Consecutive Numbers Examples
- Consecutive Numbers 1 to 100
- Types of Consecutive Numbers
- Properties of Consecutive Numbers
- HCF of Two Consecutive Numbers
- Consecutive Number Formulas
- Sum of Consecutive Numbers
- How to Find Consecutive Numbers when Sum is Given?