Question

N = 2 la puterea n + 1 ori 3 la puterea 2n + 1 plus 2 la puterea n inmultit cu 9 la puterea n+ 1, n apartine N*

Answer 1

[tex]N=2^{n+1}\cdot 3^{2n+1}+2^n\cdot 9^{n+1}=\\ 2^n\cdot 2\cdot 3^{2n}\cdot3+2^n\cdot 9^n\cdot 9=\\ 2^n\cdot 9^n\cdot 6+2^n\cdot 9^n\cdot 9=\\ 18^n(6+9)=15\cdot 18^n[/tex]