Question

d)2^(n+²)•3^(n+¹)-6^n
dau 100 puncte!

Answer 1

Explicație pas cu pas:

${2}^{n + 2} \cdot {3}^{n + 1} - {6}^{n} = {2}^{2} \cdot {2}^{n} \cdot 3 \cdot {3}^{n} - {6}^{n} = 12 \cdot {(2 \cdot 3)}^{n} - {6}^{n} = 12 \cdot {6}^{n} - {6}^{n} = {6}^{n} \cdot (12 - 1) = \bf 11 \cdot {6}^{n}$