Question

the first 99 odd natural numbers​

Answer 1

$\textbf{Given:}$

$\textsf{The first 99 natural numbers}$

$\textbf{To find:}$

$\textsf{The sum of first odd natural numbers}$

$\textbf{Solution:}$

$\underline{\textsf{Sum of first 'n' odd natural numbers:}}$

$\boxed{\mathsf{1+3+5+\;.\;.\;.\;.\;.+(2n-1)=n^2}}$

$\textsf{The first 99 odd natural numbers are}$

$\mathsf{1,3,5,\;.;.\;.\;.\;.\;.197}$

$\underline{\textsf{Sum of first 99 odd natural numbers:}}$

$\mathsf{=n^2}$

$\mathsf{=99^2}$

$\mathsf{=9801}$

$\therefore\textbf{The sum of first 99 natural numbers is 9801}$