Consecutive Positive Integers

The consecutive positive integers are the consecutive numbers that are positive in nature, i,e, they are the positive natural numbers, for example 1, 2, 3, 4, 5,… are consecutive positive numbers. The difference between two consecutive integers is constant and is always equal to 1.

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.

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Consecutive Meaning

Consecutive in Mathematics is defined as the number that comes next to each other. Suppose we have to write consecutive natural numbers then they are 1, 2, 3,…, suppose we have to write consecutive whole number then they are, 0, 1, 2, 3,… Now one thing to note is that their are no consecutive rational numbers or consecutive irrational numbers, because between any two rational numbers and irrational numbers there are infinite rational and irrational number....

What are Consecutive Integers?

Consecutive integers are the integers in mathematics that follow each other. They have a difference of 1 and they follow a regular pattern. The consecutive integers are always arranged in ascending order and written from smallest to largest....

Examples of Consecutive Integers

Some examples of consecutive integers include,...

Consecutive Even Integers

We know that even integers are multiples of 2. So, if we list the set of even numbers in ascending order, they may be expressed as …,-4, -2, 0, 2, 4, 6, 8, 10, …...

Consecutive Odd Integers

We know that odd integers that on dividing by 2 gives one(1) as remainder. So, if we list the set of odd numbers in ascending order, they may be expressed as …,-3, -1, 0, 1, …...

Consecutive Integers Formula

The formula to calculate the consecutive integers is very basic and uses the concept of basic algebraic expressions....

Consecutive Positive Integers

The consecutive positive integers are the consecutive numbers that are positive in nature, i,e, they are the positive natural numbers, for example 1, 2, 3, 4, 5,… are consecutive positive numbers. The difference between two consecutive integers is constant and is always equal to 1....

Three Consecutive Integers

Product of three consecutive integers (apart from 0) is always divisible by 6 this is shown as, suppose we have three consecutive integers then they are represented as,...

Properties of Consecutive Integers

Various properties of the consecutive integers are,...

Consecutive Integers Solved Examples

Example 1: Find three consecutive integers after 64....

Practice Questions on Consecutive Integers

Q1: Find the next 10 consecutive integers from -20...

Consecutive Integers – FAQs

What are Consecutive Integers?...