Harmonic Progression General Term
Harmonic Progression General Term
\[a_n = 1 / (a + (n-1)d)\]
Variables
an = nth term
a = first reciprocal base
d = difference in reciprocals
n = term index
Description
What is this formula?
This formula defines the general term of a harmonic progression.
When to use it
When sequences are defined as reciprocals of arithmetic progressions.
Example
a=1, d=1, n=3 → a3=1/(1+2)=1/3
Applications
Signal processing, physics, mathematical analysis.
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