The Paschen series results from transitions of the electron in hydrogen in which the electron ends at the $\mathrm{n}=3 n=3$ energy level. Using the Rydberg formula for the Paschen series, calculate the wavelengths of the photons emitted in the transitions that end in the $\mathrm{n}=3 n=3$ level and start in the energy levels that correspond to $n$ equal to 4 through 6 and indicate the initial and final levels of the transition corresponding to each wavelength. State whether each wavelength is visible (380 to $750 \mathrm{~nm}$ ), ultraviolet (shorter than $380 \mathrm{~nm}$ ), or infrared (longer than $750 \mathrm{~nm}$ ).