A hydrogen atom in an excited state emits a photon which has the longest wavelength of the Paschen series. Further emissions from the atom cannot include the :

Longest wavelength of Paschen series corresponds to $4\to 3$.
Subsequent possible emissions are $3\to 2, 2\to 1, 3\to 1$, 
2nd longest wavelength of Balmer series corresponds to $4\to 2$ which is not possible