Найдите последовательное значение каждой из разностей: 1/2-1/4; 1/4-1/6; 1/6-1/8; 1/8-1/10; 1/10-1/12; 1/12-1/14.

Ответ:

\[\frac{1^{\backslash 2}}{2} - \frac{1}{4} = \frac{2}{4} - \frac{1}{4} = \frac{1}{4}\]

\[\frac{1^{\backslash 3}}{4} - \frac{1^{\backslash 2}}{6} = \frac{3}{12} - \frac{2}{12} = \frac{1}{12}\]

\[\frac{1^{\backslash 4}}{6} - \frac{1^{\backslash 3}}{8} = \frac{4}{24} - \frac{3}{24} = \frac{1}{24}\]

\[\frac{1^{\backslash 5}}{8} - \frac{1^{\backslash 4}}{10} = \frac{5}{40} - \frac{4}{40} = \frac{1}{40}\]

\[\frac{1^{\backslash 6}}{10} - \frac{1^{\backslash 5}}{12} = \frac{6}{60} - \frac{5}{60} = \frac{1}{60}\]

\[\frac{1^{\backslash 7}}{12} - \frac{1^{\backslash 6}}{14} = \frac{7}{84} - \frac{6}{84} = \frac{1}{84}\]