Question

simplificando a expressão:3n+2 -3n

                                          --------------------

                                           3n+1 +3n-1

7a9833728c093525d139bf8d6d96bdaa.docx

Answer 1

$\dfrac{3^{n+2}-3^{n}}{3^{n+1}+3^{n-1}}=\dfrac{3^{n-1}(3^3-3)}{3^{n-1}(3^2-1)}=\dfrac{3^3-3}{3^2-1}$

$\dfrac{3^{n+2}-3^{n}}{3^{n+1}+3^{n-1}}=\dfrac{27-3}{9-1}=\dfrac{24}{8}=3$

Alternativa D