Conc.interj."Grigore Moisil" Urziceni 2010 probl.3
Posted: Tue Mar 23, 2010 9:05 pm
Fie \( n\in \mathb{N}^* \). Demonstrati ca multimea \( \{n, n+1, n+2, ..., n^3+n^2+n+1, n^3+n^2+n+2\} \)
a) contine cel putin un patrat perfect.
b) contine puterea a patra a unui numar natural.
a) contine cel putin un patrat perfect.
b) contine puterea a patra a unui numar natural.