Question 1
Positive integers are arranged in the following pattern.
$$\begin{array}{|c|c|c|c|c|c|}\hline1&2&3&4&\cdots&100\\\hline2&3&4&5&\cdots&101\\\hline3&4&5&6&\cdots&102\\\hline4&5&6&7&\cdots&103\\\hline\vdots&\vdots&\vdots&\vdots&\vdots&\vdots\\\hline100&101&102&103&\cdots&199\\\hline\end{array}$$
Find the sum of all the integers in the table above.
$$\begin{array}{|c|c|c|c|c|c|}\hline1&2&3&4&\cdots&100\\\hline2&3&4&5&\cdots&101\\\hline3&4&5&6&\cdots&102\\\hline4&5&6&7&\cdots&103\\\hline\vdots&\vdots&\vdots&\vdots&\vdots&\vdots\\\hline100&101&102&103&\cdots&199\\\hline\end{array}$$
Find the sum of all the integers in the table above.