Category:Difference between Adjacent Terms of Farey Sequence

Let $F_n$ be a Farey sequence of order $n$.

Let $\dfrac a b$ and $\dfrac c d$ be consecutive terms of $F_n$ such that $\dfrac a b < \dfrac c d$.

Then:

$\dfrac c d - \dfrac a b = \dfrac 1 {b d}$

or equivalently:

$b c - a d = 1$

Pages in category "Difference between Adjacent Terms of Farey Sequence"

The following 3 pages are in this category, out of 3 total.