Question

What are $2$ consecutive odd numbers?

Answer 1

Hint: In the given question, we need to explain what are $2$ consecutive odd numbers. Let us first understand what consecutive numbers are. Consecutive numbers are numbers that follow each other from the smallest number to the largest number. they usually have a difference of $1$. Now will we understand the concept of consecutive odd numbers using the definition of consecutive numbers. The only difference between consecutive numbers and consecutive odd numbers is that there is difference of $1$ in two consecutive numbers and there is difference of $2$ in two consecutive odd numbers.

Complete step by step answer:
$2$ consecutive odd numbers:
Odd numbers are those numbers which cannot be completely divided by $2$. When we arrange them in ascending order, we can see that the difference between them is always $2$. For example, the numbers $3,5,7,9,11,13,..$ are called consecutive odd numbers because the difference between any predecessor-successor pair is $2$.
Example: Here, $3$ and $5$ are two consecutive odd numbers, their difference= $5 - 3 = 2$.
Odd Consecutive Numbers Formula = $2n + 1,2n + 3,2n + 5,2n + 7,...$ where $n$ is any integer.

Additional Information: As we know that even numbers are those numbers that end in $0,2,4,6,8$. Let us arrange the even numbers in ascending order. The numbers are arranged as $2,4,6,8,10,12$. We can see that the difference between any predecessor-successor pair is $2$. Therefore, these numbers form the list of consecutive even numbers.

Note:
Remember that if we denote the 1st number as $n$, then the consecutive numbers in the series will be $n + 1$, $n + 2$, $n + 3$, and so on. Also, for an odd consecutive number, the general formula = $2n + 1$ (where $n$ = any integer) and for an even consecutive number, the general formula = $2n$ (where $n$ = any integer).