## College Algebra 7th Edition

The given terms can be terms of an arithmetic sequence if there is a common difference among consecutive terms. Determine the difference between each pair of consecutive terms. Make the fractions similar sing their LCD. $\frac{1}{3} - \frac{1}{2} = \frac{2}{6} - \frac{3}{6}=-\frac{1}{6}; \\\frac{1}{4} - \frac{1}{3} = \frac{3}{12} - \frac{4}{12} = -\frac{1}{12}; \\\frac{1}{5} -\frac{1}{4} = \frac{4}{20} - \frac{5}{20} = -\frac{1}{20}$ There is no common difference so the given terms cannot be terms of an arithmetic sequence.