\( \begin{eqnarray} X &=& 101 + 202 + 303 + \cdots + 5050 \\ Y &=& 2^2+4^2 + 6^2 + \cdots + 100^2 \end{eqnarray}\)
Which is bigger, X or Y?
Y, beacuse if you simply look at it, even though it starts at a smaller number, it has 100 terms and the last term (100^2) is 10000 which is way bigger. So from here, I strongly belive that Y is larger.
As follows
