Let Me Derive The Formula First

Algebra Level 2

X=101+202+303++5050Y=22+42+62++1002 \begin{aligned} X &=& 101 + 202 + 303 + \cdots + 5050 \\ Y &=& 2^2+4^2 + 6^2 + \cdots + 100^2 \end{aligned}

Which number is bigger: XX or YY?

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