The visible spectrum of hydrogen can be described accurately with an empirical formula found by the Swiss teac

Question

The visible spectrum of hydrogen can be described accurately with an empirical formula found by the Swiss teacher Johann Balmer in 1885. This formula, which gives the wavelength of a spectral line as a function of an integer quantity n, describes the spectrum known as the Balmer series. By varying n, you can calculate the wavelength of all spectral lines.
Part A
Find the minimum value of n in the Balmer series for which the predicted wavelength is in the ultraviolet region of the spectrum.

Answer 1

λ (in nm) = 364.56(n^2/(n^2 - 2^2))
λ(9) = 364.56(81/(81 - 4))
λ(9) = 383.498 nm

(The reference states that λ(8) = 388.9 is visible, but λ(9) is UV)