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National and Regional Contests
Morocco Contests
Morocco National Olympiad
2011 Morocco National Olympiad
2
Sum with - and +
Sum with - and +
Source:
April 24, 2011
Problem Statement
Compute the sum
S
=
1
+
2
+
3
−
4
−
5
+
6
+
7
+
8
−
9
−
10
+
⋯
−
2010
S=1+2+3-4-5+6+7+8-9-10+\dots-2010
S
=
1
+
2
+
3
−
4
−
5
+
6
+
7
+
8
−
9
−
10
+
⋯
−
2010
where every three consecutive
+
+
+
are followed by two
−
-
−
.
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