Question

Write the $n^{th}$ term of odd numbers.

Answer 1

We know that,

Odd Numbers are $1,3,5,7,9,\dots$

We observe that odd numbers are in A.P.

Here, first term, $a=1$
common difference, $d=3-1=2$

Using general term formula,

$n^{th}$ term $=a+(n-1)d$

$=1+(n-1)2$

$=1+2n-2$

$=2n-1$

Hence, $n^{th}$ term $=2n-1$