Respuesta :

Answer:

The answer that describes the pattern in this sequence is;

[tex]\text{ multiply by }\frac{1}{2}[/tex]

Explanation:

Given the sequence;

[tex]2,1,\frac{1}{2},\frac{1}{4},\ldots[/tex]

The sequence shows a Geometric Progression.

The common ratio of the sequence would be;

[tex]\begin{gathered} r=\frac{1}{2}=\frac{\frac{1}{2}}{1}=\frac{\frac{1}{4}}{\frac{1}{2}} \\ r=\frac{1}{2} \end{gathered}[/tex]

Therefore, the answer that describes the pattern in this sequence is;

[tex]\text{ multiply by }\frac{1}{2}[/tex]