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Baltic Way
2004 Baltic Way
5
5
Part of
2004 Baltic Way
Problems
(1)
Function
Source: Baltic Way 2004, problem 5
11/20/2004
Determine the range of the following function defined for integer
k
k
k
,
f
(
k
)
=
(
k
)
3
+
(
2
k
)
5
+
(
3
k
)
7
−
6
k
f(k)=(k)_3+(2k)_5+(3k)_7-6k
f
(
k
)
=
(
k
)
3
+
(
2
k
)
5
+
(
3
k
)
7
−
6
k
where
(
k
)
2
n
+
1
(k)_{2n+1}
(
k
)
2
n
+
1
denotes the multiple of
2
n
+
1
2n+1
2
n
+
1
closest to
k
k
k
function
algebra solved
algebra