determine the end value of n in a hydrogen atom transition if the electron starts in n=2 and the atom absorbs a photon of light with a frequency of 4.57 times 10^14 Hz

Answer 1

1/wavelength = R(1/n1^2 - 1/n2^2)
The n is squared, not the 1 and 2.
n1 will be 2 so the first part is 1/2^2.
Change frequency to wavelength with
c = freq x wavelength.
R is Rydberg constant = 1.097 x 10^7 m

Answer 2

2742500