MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Harvard-MIT Mathematics Tournament
2013 Harvard-MIT Mathematics Tournament
13
2013 HMMT Guts #13: Smallest Solution to Inequality
2013 HMMT Guts #13: Smallest Solution to Inequality
Source:
March 26, 2013
HMMT
inequalities
Problem Statement
Find the smallest positive integer
n
n
n
such that
5
n
+
1
+
2
n
+
1
5
n
+
2
n
>
4.99
\dfrac{5^{n+1}+2^{n+1}}{5^n+2^n}>4.99
5
n
+
2
n
5
n
+
1
+
2
n
+
1
>
4.99
.
Back to Problems
View on AoPS