What are consecutive numbers?
Answer
561.3k+ views
Hint: The series of numbers that are more than 1 from its preceding number is known as consecutive numbers. The consecutive number series can be even as well as odd depending on the first term of the series and the difference between the numbers.
Complete step-by-step solution:
In the given question,
When we start counting natural numbers, we are just counting the consecutive numbers or consecutive integers. Consecutive integers are integers that follow each other in a fixed sequence.
Consecutive integers are integers that follow in a fixed sequence, each number being $1$ more than the previous number, Consecutive integers are represented by \[n,{\text{ }}n{\text{ }} + 1,{\text{ }}n{\text{ }} + {\text{ }}2,{\text{ }}n{\text{ }} + {\text{ }}3,{\text{ }}...,\] where n is any integer.
For example: \[23,{\text{ }}24,{\text{ }}25\].
Also, If the difference between the two consecutive numbers is 2 and the starting term is an odd integer then, it is known as the series of the odd consecutive numbers, whereas if the difference between the two consecutive numbers is 2 and the starting term is an even integer, then it is known to be an even consecutive number series.
Note: It is interesting to note here that for a series of even or odd consecutive numbers, all the terms present in the series are even and odd, respectively.
\[1,2,3,4, \ldots \] is a series of general, consecutive numbers.
\[2,4,6,8, \ldots \] is a series of even consecutive numbers.
\[1,3,5,7, \ldots \] is a series of odd consecutive numbers.
Complete step-by-step solution:
In the given question,
When we start counting natural numbers, we are just counting the consecutive numbers or consecutive integers. Consecutive integers are integers that follow each other in a fixed sequence.
Consecutive integers are integers that follow in a fixed sequence, each number being $1$ more than the previous number, Consecutive integers are represented by \[n,{\text{ }}n{\text{ }} + 1,{\text{ }}n{\text{ }} + {\text{ }}2,{\text{ }}n{\text{ }} + {\text{ }}3,{\text{ }}...,\] where n is any integer.
For example: \[23,{\text{ }}24,{\text{ }}25\].
Also, If the difference between the two consecutive numbers is 2 and the starting term is an odd integer then, it is known as the series of the odd consecutive numbers, whereas if the difference between the two consecutive numbers is 2 and the starting term is an even integer, then it is known to be an even consecutive number series.
Note: It is interesting to note here that for a series of even or odd consecutive numbers, all the terms present in the series are even and odd, respectively.
\[1,2,3,4, \ldots \] is a series of general, consecutive numbers.
\[2,4,6,8, \ldots \] is a series of even consecutive numbers.
\[1,3,5,7, \ldots \] is a series of odd consecutive numbers.
Recently Updated Pages
Find the greatest six digit number that is exactly class 8 maths CBSE

What is the time difference between India and Cana class 8 social science CBSE

Compare LPG and wood as fuels class 8 chemistry CBSE

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

30 opposite words in English from a to z class 8 english CBSE

How many cubic feet equals to 1 unit sand class 8 maths CBSE

Trending doubts
What is BLO What is the full form of BLO class 8 social science CBSE

Citizens of India can vote at the age of A 18 years class 8 social science CBSE

Full form of STD, ISD and PCO

One cusec is equal to how many liters class 8 maths CBSE

What are the methods of reducing friction. Explain

What is the difference between rai and mustard see class 8 biology CBSE

