Question

What Is Harmonic Progression Formula?

Answer 1

Harmonic Progression:

Harmonic progression is a sequence that contains the reciprocals of terms of Arithmetic progression which does not contain $0$.

Let the first term of the arithmetic progression be $a$ and the common difference be $d$.

The terms of the AP are $a,a+d,a+2d,a+3d,\cdots$

Then the terms of HP are $\frac{1}{a},\frac{1}{a+d},\frac{1}{a+2d},\frac{1}{a+3d},\dots$.

Harmonic Progression Formula:

The formula of $n^{th}$term of HP is $t_n=\frac{1}{a+\left(n-1\right)d}$. where

$a$ is the first term of AP.

$d$ is common difference of AP