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2

Part of 2006 Federal Competition For Advanced Students, Part 1

Problems(1)

37th Austrian Mathematical Olympiad 2006

Source: round 2, problem 2

2/10/2009
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.
algebra unsolvedalgebra