#### Answer

There is a common difference of $\ln{2}$ therefore the given terms form an arithmetic sequence.

#### Work Step by Step

The given terms can be terms of an arithmetic sequence if there is a common difference among consecutive terms.
First, simplify each expression using the rule $\ln{(a^n)}= n\cdot \ln{a}$.
$\ln{2} = \ln{2};
\\\ln{4} = \ln{(2^2)}=2\ln{2};
\\\ln{8} = \ln{(2^3)}=3\ln{2};
\\\ln{16} = \ln{(2^4)} = 4\ln{2}$
Determine the difference between each pair of consecutive terms to obtain:
$2\ln{2} - \ln{2} = \ln{2};
\\3\ln{2} - 2\ln{2} = \ln{2};
\\4\ln{2} - 3\ln{2} =\ln{2}$
There is a common difference of $\ln{2}$ therefore the given terms form an arithmetic sequence.