Question

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!!!!!!!!

Answer 1

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