Category:Harmonic Progressions

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This category contains results about Harmonic Progressions.
Definitions specific to this category can be found in Definitions/Harmonic Progressions.


A harmonic progression is a sequence $\left \langle{a_k}\right \rangle$ in $\R$ defined as:

$h_k = \dfrac 1 {a + k d}$

where:

$k \in \left\{ {0, 1, 2, \ldots}\right\}$
$-\dfrac a d \notin \left\{ {0, 1, 2, \ldots}\right\}$


Thus its general form is:

$\dfrac 1 a, \dfrac 1 {a + d}, \dfrac 1 {a + 2 d}, \dfrac 1 {a + 3 d}, \ldots$

Also see

Pages in category "Harmonic Progressions"

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