Question

The sum of first $16$ odd numbers is equal to:

• A. $225$
• B. $64$
• C. $32$
• D. $256$

Answer 1

The correct option is D

$256$

As we know that the sum of first $n$ odd natural numbers is $n^2$.

For example:
$1+3+5=3^2=9$ [Here, $n=3$]

$1+3+5+7=4^2=16$ [Here, $n=4$]

Hence, the sum of first $16$ odd numbers$={16}^2=256$