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## Homework Statement

Compute to three significant figures the wavelength of the sixth line in the hydrogen Balmer series.

## Homework Equations

1 / lambda = R * ( 1/ n_final^2 - 1 / n_initial^2 )

R = Rydberg constant = 10973731.57 m^-1

lambda = wavelength

## The Attempt at a Solution

I set up the Balmer formula I listed above given the info in the problem

1 / lambda = (10973731.57 m^-1) * ( 1/ 2^2 - 1 / 6^2 ) = 1 / 2438607.015555 m^-1

so, lambda = 410.070 nm

or 4.10 x 10^-7 m using 3 sig figs as the question asks for.

Not sure what I am doing wrong. This seems right to me, but it is not.

Any help is appreciated.