MathDB
Problems
Contests
National and Regional Contests
Moldova Contests
Chisinau City MO
1949-56 Chisinau City MO
52
52
Part of
1949-56 Chisinau City MO
Problems
(1)
Chisinau MO p52 1949-56 X 4^n < (2n+1)C_{2n}^n
Source:
3/15/2021
Prove that for any natural number
n
n
n
the following inequality holds
4
n
<
(
2
n
+
1
)
C
2
n
n
4^n < (2n+1)C_{2n}^n
4
n
<
(
2
n
+
1
)
C
2
n
n
combinatorics
algebra
inequalities