Step 1:
The formula for the wavelength of spectral lines in the Brackett series is given by:
\[
\frac{1}{\lambda} = R \left( \frac{1}{m^2} - \frac{1}{n^2} \right)
\]
where $R$ is the Rydberg constant, $m$ is the lower energy level (which is 4 for the Brackett
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