I assume the problem is telling us that the electron travels from N = 6 to n = 2 providing a wavelength of that value.
1/wavelength = R(1/2^2 - 1/6^2)
Solve for R. Wavelength must be in meters.
λ for one line of the hydrogen spectrum is .4118 x 10-4 cm. Use this value in the Rydberg equation to calculate the RH value using n1 = 2, and n2 = 6.
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