Paschen series radiations come from the transitions in the third orbit from the higher energy levels. The wavelengths of the radiations coming from the transition from farther energy levels is shorter (small) and the frequencies are higher whereas the wavelength of radiations produced from the transitions from the nearer energy levels are longer (and frequency lower). Therefore, the longest wavelength will come from the transition of closest energy level, i-e, energy level 4.
The equation for Paschen series is
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