I am so stuck on this problem:

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 = 5.

I know 1/lambda = RH (1/n2 - 1/n2)

1/(.4118e-6 m) = RH (1/4 - 1/25)

RH = 1.156e7 ??

2 answers

That looks ok to me. The Rydberg constant is 1.097 x 10^7 m^-1 so your calculated value is close.
It's actually 1.097*10nm^-2n^-1