👤
a fost răspuns

Aratati ca 2 la n+1 *3 la n+2 *5 la n+1 +6 la n+2 * 5 la n

Va rog ajutati_ma dau coroana, fara nefocieri!!!!!!!!

Răspuns :

AcelOm
[tex]N=2^{n+1}\cdot3^{n+2}\cdot5^{n+1}~+~6^{n+2}\cdot5^n[/tex]
[tex]N=2^n\cdot2\cdot3^n\cdot9\cdot5^n\cdot5~+~6^n\cdot36\cdot5^n[/tex]
[tex]N=30^n\cdot90+30^n\cdot36[/tex]
[tex]N=30^n(90+36)[/tex]
[tex]N=30^n\cdot126[/tex]
[tex]N\vdots126[/tex]