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2016 Online Math Open Problems
9
2015-2016 Spring OMO #9
2015-2016 Spring OMO #9
Source:
March 29, 2016
Online Math Open
Problem Statement
Let
f
(
n
)
=
1
×
3
×
5
×
⋯
×
(
2
n
−
1
)
f(n)=1 \times 3 \times 5 \times \cdots \times (2n-1)
f
(
n
)
=
1
×
3
×
5
×
⋯
×
(
2
n
−
1
)
. Compute the remainder when
f
(
1
)
+
f
(
2
)
+
f
(
3
)
+
⋯
+
f
(
2016
)
f(1)+f(2)+f(3)+\cdots +f(2016)
f
(
1
)
+
f
(
2
)
+
f
(
3
)
+
⋯
+
f
(
2016
)
is divided by
100.
100.
100.
Proposed by James Lin
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