MathDB
Problems
Contests
National and Regional Contests
South Africa Contests
South Africa National Olympiad
2012 South africa National Olympiad
1
SAMO 2012 Senior Round 3 Problem 1
SAMO 2012 Senior Round 3 Problem 1
Source:
September 6, 2012
Problem Statement
Given that
1
+
3
+
5
+
⋯
+
(
2
n
−
1
)
2
+
4
+
6
+
⋯
+
(
2
n
)
=
2011
2012
\frac{1+3+5+\cdots+(2n-1)}{2+4+6+\cdots+(2n)}=\frac{2011}{2012}
2
+
4
+
6
+
⋯
+
(
2
n
)
1
+
3
+
5
+
⋯
+
(
2
n
−
1
)
=
2012
2011
, determine n.
Back to Problems
View on AoPS