Question

The pattern formed by all odd numbers is correctly represented by the expression ______.

• A. $2n+1$
• B. $2(n+1)$
• C. $2n$
• D. None of above

Answer 1

The correct option is A $2n+1$

Even numbers are divisible by $2$.
So, all even numbers can be represented by $2\times n$; where $n$ represents whole numbers $0,1,\mathrm{2.........}$
All, even number are succeeded by an odd number.
$\therefore$ $2n+1$ gives the pattern formed by odd numbers.

For $n=0,2n+1=2\times 0+1=1$
For $n=1,2n+1=2\times 1+1=3$
For $n=2,2n+1=2\times 2+5=5$.

So, it is clear that $2n+1$ is the correct answer.