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6
I 6
I 6
Source:
May 25, 2007
floor function
inequalities
Problem Statement
Prove that for all positive integers
n
n
n
,
⌊
n
+
n
+
1
+
n
+
2
⌋
=
⌊
9
n
+
8
⌋
.
\lfloor \sqrt{n}+\sqrt{n+1}+\sqrt{n+2}\rfloor =\lfloor \sqrt{9n+8}\rfloor.
⌊
n
+
n
+
1
+
n
+
2
⌋
=
⌊
9
n
+
8
⌋
.
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