Question
Study the following pattern:
$
\begin{array}{ll}
1 & =\frac{1 \times 2}{2} \\
1+2 & =\frac{2 \times 3}{2} \\
1+2+3 & =\frac{3 \times 4}{2} \\
1+2+3+4 & =\frac{4 \times 5}{2}
\end{array}
$
By observing the above pattern, find:
(i) $1+2+3+4+5+6+7+8+9+10$
(ii) $50+51+52+......+100$
(iii) $2+4+6+8+10+......+100$
$
\begin{array}{ll}
1 & =\frac{1 \times 2}{2} \\
1+2 & =\frac{2 \times 3}{2} \\
1+2+3 & =\frac{3 \times 4}{2} \\
1+2+3+4 & =\frac{4 \times 5}{2}
\end{array}
$
By observing the above pattern, find:
(i) $1+2+3+4+5+6+7+8+9+10$
(ii) $50+51+52+......+100$
(iii) $2+4+6+8+10+......+100$
