minimum value
Source: Austria 1985
July 7, 2009
inequalities unsolvedinequalities
Problem Statement
For , let f(n)\equal{}1^n\plus{}2^{n\minus{}1}\plus{}3^{n\minus{}2}\plus{}...\plus{}n^1. Determine the minimum value of: \frac{f(n\plus{}1)}{f(n)}.
Source: Austria 1985