Respuesta :

Given:

[tex]\begin{gathered} \frac{5671}{1}=5671 \\ \frac{5671}{10}=567.1 \\ \frac{5671}{100}=56.71 \\ \frac{5671}{1000}=5.671 \end{gathered}[/tex]

We can appreciate the following pattern:

[tex]\frac{5671}{10^n}[/tex]

Where n is a positive integer:

[tex]f(n)=\frac{5671}{10^n},n\in\mleft\lbrace0,1,2,3,\ldots\mright\rbrace[/tex]