Properties of Consecutive Integers
Various properties of the consecutive integers are,
- Difference between two consecutive integers is always constant and is equal to 1.
- Difference between two consecutive even integers is always constant and is equal to 2.
- Difference between two consecutive odd integers is always constant and is equal to 2.
- Product of three consecutive integers (apart from 0) is always divisible by 6.
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Consecutive Integers
Consecutive Integers are the integers that follow each other, i.e. while continuously writing integers they come next to each other. they have a difference of one(1). For example, …-3, -2, -1, 0, 1, 2, 3,… this is a sequence of consecutive integers. Apart from that natural numbers are also called consecutive integers because they are all integers and the difference between two consecutive natural numbers is always 1.
Thus, we can say that consecutive integers are the number that follows a regular pattern of writing and there is a fixed difference between any two consecutive integers, i.e. they have a difference of One(1). We represent any two consecutive integers as n, n + 1 where n ϵ Z.
In this article, we will learn about Consecutive Integers, Consecutive Even Integers, Consecutive Odd Integers, Examples, and others in detail.
Table of Content
- Consecutive Meaning
- What are Consecutive Integers?
- Examples of Consecutive Integers
- Consecutive Even Integers
- Consecutive Odd Integers
- Consecutive Integers Formula
- Consecutive Positive Integers
- Three Consecutive Integers
- Properties of Consecutive Integers
- Consecutive Integers Solved Examples
- Practice Questions on Consecutive Integers
Before learning in detail about Consecutive Integers let’s first understand what is the meaning of Consecutive in maths.