Question

Write the algebraic expression to represent the pattern formed by all odd numbers.

Answer 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, 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 + 1 = 5, and so on.