Give the Rydberg equation for all lines in the hydrogen spectrum.

(N/A) The Swedish spectroscopist,Johannes Rydberg,noted that all series of lines in the hydrogen spectrum could be described by the following expression:
$\bar{v} = R_H \left( \frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}} \right) \ cm^{-1}$
Where:
$\bar{v}$ is the wavenumber.
$R_H$ is the Rydberg constant for hydrogen,which is $109677 \ cm^{-1}$.
$n_1 = 1, 2, 3, \dots$
$n_2 = (n_1 + 1), (n_1 + 2), (n_1 + 3), \dots$
The series of the hydrogen spectrum are identified by the value of $n_1$:
$n_1 = 1$: Lyman series (ultraviolet region)
$n_1 = 2$: Balmer series (visible region)
$n_1 = 3$: Paschen series (infrared region)
$n_1 = 4$: Brackett series (infrared region)
$n_1 = 5$: Pfund series (infrared region)