The energy difference can be calculated using the formula:
$\Delta E = -\frac{13.6 \text{ eV}}{n_f^2} + \frac{13.6 \text{ eV}}{n_i^2}$
where $n_f$ is the final energy level and $n_i$ is the initial energy level.
Plugging in the values $n_f = 2$ and $n_i = 6$,
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