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\( \begin{eqnarray} X &=& 101 + 202 + 303 + \cdots + 5050 \\ Y &=& 2^2+4^2 + 6^2 + \cdots + 100^2 \end{eqnarray}\)

 

Which is bigger, X or Y?

 Jun 24, 2020
 #1
avatar+134 
+2

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.

 Jun 24, 2020
 #2
avatar+31087 
+2

As follows

 

 Jun 25, 2020

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