Question

the sum of numbers from 50to100.

Answer 1

Hope it helps you dear

Answer 2

$\textbf{\large{\pink{\underline{\underline{Step by step Explanation.}}}}}$

$\mathtt{AP\to 50,,51,,52.....100}$

$\textit{\underline{Hence,we find,,}}$

$\mathtt{a=50}$

$\mathtt{d=a_{2}-a}$

$\mathtt{=51-50}$

$\mathtt{=1}$

$\mathtt{a_{n}=100}$

$\mathtt{n=??}$

$\textit{\underline{Hence,,}}$

$\mathtt{a_{n}=a+(n-1)d}$

$\mathtt{100=50+(n-1)1}$

$\mathtt{100-50=n-1}$

$\mathtt{50=n-1}$

$\mathtt{50+1=n}$

$\mathtt{n=51}$

$\textit{\underline{Hence,,}}$

$\mathtt{S_{n}=\frac{n}{2}[a+a_{n}]}$

$\mathtt{\implies{S_{51}=\frac{51}{2}[50+100]}}$

$\mathtt{\implies{S_{51}=\frac{51}{2}\times 150}}$

$\mathtt{\implies{S_{51}=51\times 75}}$

$\mathtt{\implies{S_{51}=3825}}$

$\textit{So,the sum of numbers from 50to100=3825}$

❣️❣️$\textbf{\small{\red{\underline{Hope it helps you}}}}$❣️❣️

$\textit{\small{\green{\underline{Please mark it as Brainliest answer.. thanks}}}}$