#### Answer

The sequence is geometric.
The common ratio is $r=\dfrac{1}{2}$.

#### Work Step by Step

A geometric sequence has a common ratio $r$. The common ratio is multiplied to the current term to get the next term of the sequence.
The common ratio is equal to the the quotient of a term and the term before it.
Solve for the ratio of each pair of consecutive terms to obtain:
$\dfrac{1536}{3072} = \dfrac{1}{2}
\\\dfrac{768}{1536}=\dfrac{1}{2}
\\\dfrac{384}{768} = \dfrac{1}{2}$
Since the ratio is common to all pairs of consecutive terms, then the sequence is geometric.
The common ratio is $r=\dfrac{1}{2}$.