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Kosovo MO 2012 Grade 10, Problem 3
Kosovo MO 2012 Grade 10, Problem 3
Source: Kosovo MO 2012 Grade 10, Problem 3
June 7, 2021
number theory
Problem Statement
Let
n
≢
2
(
m
o
d
3
)
n\not\equiv 2\pmod{3}
n
≡
2
(
mod
3
)
. Is
⌊
n
+
2
n
3
⌋
+
7
,
∀
n
∈
N
\sqrt{\lfloor n+\tfrac {2n}{3}\rfloor+7},\forall n \in \mathbb {N}
⌊
n
+
3
2
n
⌋
+
7
,
∀
n
∈
N
, a natural number?
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