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Canada National Olympiad
1995 Canada National Olympiad
1
Evaluate Sum
Evaluate Sum
Source: Canadian Mathematical Olympiad - 1995 - Problem 1.
May 9, 2011
algebra proposed
algebra
Problem Statement
Let
f
(
x
)
=
9
x
9
x
+
3
f(x)=\frac{9^x}{9^x + 3}
f
(
x
)
=
9
x
+
3
9
x
. Evaluate
∑
i
=
1
1995
f
(
i
1996
)
\sum_{i=1}^{1995}{f\left(\frac{i}{1996}\right)}
∑
i
=
1
1995
f
(
1996
i
)
.
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