Category:Harmonic Sequences

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


A harmonic sequence is a sequence $\sequence {a_k}$ in $\R$ defined as:

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

where:

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


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 Sequences"

This category contains only the following page.