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Lusophon Mathematical Olympiad
2020 Lusophon Mathematical Olympiad
6
6
Part of
2020 Lusophon Mathematical Olympiad
Problems
(1)
Floor function for all n
Source: Lusophon 2020 Day 2 #6
11/2/2020
Prove that
⌊
9
n
+
7
⌋
=
⌊
n
+
n
+
1
+
n
+
2
⌋
\lfloor{\sqrt{9n+7}}\rfloor=\lfloor{\sqrt{n}+\sqrt{n+1}+\sqrt{n+2}}\rfloor
⌊
9
n
+
7
⌋
=
⌊
n
+
n
+
1
+
n
+
2
⌋
for all postive integer
n
n
n
.
algebra
floor function
function