MathDB

13

Part of 2013 Harvard-MIT Mathematics Tournament

Problems(1)

2013 HMMT Guts #13: Smallest Solution to Inequality

Source:

3/26/2013
Find the smallest positive integer nn such that 5n+1+2n+15n+2n>4.99\dfrac{5^{n+1}+2^{n+1}}{5^n+2^n}>4.99.
HMMTinequalities