Question

What are consecutive numbers?

Answer 1

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.