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Pan African
2001 Pan African
2
Sum of [x]
Sum of [x]
Source: Pan African 2001
October 4, 2005
Problem Statement
Find the value of the sum:
∑
i
=
1
2001
[
i
]
\sum_{i=1}^{2001} [\sqrt{i}]
i
=
1
∑
2001
[
i
]
where
[
x
]
[ {x} ]
[
x
]
denotes the greatest integer which does not exceed
x
x
x
.
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