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I am a bit rusty so I will do this the long way. Get frequency first(Hz).

Hz = (3.29 X 10^15 Hz) * Z^2 * (1/n final^2 - 1/n initial^2)

( Z =1 for hydrogen, so no problems there )

Hz = (3.29 X 10^15 Hz) * (1/2^2 - 1/6^2)

Hz = 7.31 X 10^14 Hertz

Wavelength = speed of light/Hertz

2.998 X 10^8 m/s/7.31 X 10^14 Hz

= 4.10 X 10^-7 meters

that is 410 nanometers

The color would be violet

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