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Paraguay Mathematical Olympiad
2013 Paraguay Mathematical Olympiad
1
Problem 1
Problem 1
Source: Paraguayan Mathematical Olympiad 2013
July 25, 2015
algebra
Problem Statement
Evaluate the following expression:
201
3
2
+
201
1
2
+
…
+
5
2
+
3
2
−
201
2
2
−
201
0
2
−
…
−
4
2
−
2
2
2013^2 + 2011^2 + … + 5^2 + 3^2 -2012^2 -2010^2-…-4^2-2^2
201
3
2
+
201
1
2
+
…
+
5
2
+
3
2
−
201
2
2
−
201
0
2
−
…
−
4
2
−
2
2
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