37th Austrian Mathematical Olympiad 2006
Source: round 2, problem 2
February 10, 2009
algebra unsolvedalgebra
Problem Statement
Show that the sequence a_n \equal{} \frac {(n \plus{} 1)^nn^{2 \minus{} n}}{7n^2 \plus{} 1} is strictly monotonically increasing, where n \equal{} 0,1,2, \dots.