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The question asks for the final and initial energy levels of the electron during the /emission/ of energy, so they're referring to the emission spectrum. As a result, n=3 would be the initial energy level while n=1 would be the final energy level since electrons only emit energy when falling from a higher energy level back to a lower one.
The emission and absorption spectra are the same. They must line up and match because the energy emitted or absorbed would be the same. Since the question asks for the initial and final energy levels of the electron so the transition would be from n=1 to n=3
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