\[a_n = 1 / (a + (n-1)d)\]
Variables
annth term
afirst reciprocal base
ddifference in reciprocals
nterm 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.