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I believe it means each series shares a different lower energy level. For example, the Lyman series shares a lower energy level of n=1, meaning that electron dropped from some higher energy level to n=1. Same with the Balmer series, the electron dropped from a higher energy level down to n=2. These series are just the groupings of lines representing different specific wavelengths on the atomic spectra and "lower energy level" in general is just closer to the nucleus.
Hi, during the lecture on Wednesday, Dr. Lavelle showed this diagram that explained the difference in wavelength between the Balmer series and the Lyman series. The energery level one and two have a lot of space(energy difference) in between then which is seen in the 121.6nm, 102.6nm in the Lymen series. Hope this helps!
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