Question

d) 2 la puterea n+2 x 3 la puterea n+1 - 6
dau coroana si 100 puncte !

Answer 1

Explicație pas cu pas:

${2}^{n + 2} \cdot {3}^{n + 1} - {6}^{n} = 2^{2} \cdot {2}^{n} \cdot 3 \cdot {3}^{n} - {6}^{n} =$

$= 12 \cdot {(2 \cdot 3)}^{n} - {6}^{n} = 12 \cdot {6}^{n} - {6}^{n}$

$= {6}^{n} \cdot (12 - 1) = \bf 11 \cdot {6}^{n}$