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Farey sequence: Difference between revisions
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use more whitespace for Farey sequences.
m (added a note of the length (the number of fractions) of a Farey sequence (asymptotically approaches).) |
m (use more whitespace for Farey sequences.) |
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The Farey sequences of orders '''1''' to '''5''' are:
:::: <math>{\bf\it{F}}_1 = \frac{0}{1}, \frac{1}{1}</math>
:<br>
:::: <math>{\bf\it{F}}_2 = \frac{0}{1}, \frac{1}{2}, \frac{1}{1}</math>
:<br>
:::: <math>{\bf\it{F}}_3 = \frac{0}{1}, \frac{1}{3}, \frac{1}{2}, \frac{2}{3}, \frac{1}{1}</math>
:<br>
:::: <math>{\bf\it{F}}_4 = \frac{0}{1}, \frac{1}{4}, \frac{1}{3}, \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{1}{1}</math>
:<br>
:::: <math>{\bf\it{F}}_5 = \frac{0}{1}, \frac{1}{5}, \frac{1}{4}, \frac{1}{3}, \frac{2}{5}, \frac{1}{2}, \frac{3}{5}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{1}{1}</math>
;Task
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