Step 1:
The formula for the Balmer series is given by:
\[ \frac{1}{\lambda} = R \left( \frac{1}{2^2} - \frac{1}{n^2} \right) \]
where \( \lambda \) is the wavelength, \( R \) is the Rydberg constant, and \( n \) is the principal quantum number of the electron's
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