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AIME Problems
1995 AIME Problems
13
13
Part of
1995 AIME Problems
Problems
(1)
Summation
Source:
12/22/2005
Let
f
(
n
)
f(n)
f
(
n
)
be the integer closest to
n
4
.
\sqrt[4]{n}.
4
n
.
Find
∑
k
=
1
1995
1
f
(
k
)
.
\sum_{k=1}^{1995}\frac 1{f(k)}.
∑
k
=
1
1995
f
(
k
)
1
.
floor function
inequalities