Answer
See the answer below.
Work Step by Step
The wavelength of 93.8 nm provides the energy for a transition from n = 1 to n= 6, meaning that any combination requiring less energy would be possible. Assuming its electron is in the ground state, the observed lines are, from n=1 to :
n= 2, 121.6 nm
n=3, 102.6 nm
n=4, 97.3 nm
n=5, 95.0 nm