Respuesta :

[tex]\begin{gathered} a_1=72 \\ \\ a_n=-\frac{1}{6}a_{n-1} \end{gathered}[/tex]

Write an explicit formula that represents the sequence

[tex]\begin{gathered} a(n)=(-\frac{1}{6})^{n-1}\cdot72 \\ \\ a(n)=(-\frac{1}{6})^n(-\frac{1}{6})^{-1}72_{} \\ a(n)=(-\frac{1}{6})^n-6\cdot72 \\ a(n)=-(-\frac{1}{6})^n432 \end{gathered}[/tex]