Is the Rydberg formula true for electron absorption only?

[Fibi]

Since we know that when an electron goes from the ground state (hydrogen) n=1 to n=3 for example, we have
ΔE = E₃ - E₁
by manipulating the equation we get Rydberg's formula
1/λ= R (1/n_i² - 1/n_f²) (where R is Rydberg's constant)

My question here, if the electron goes from higher energy state to a lower energy state, let's say from n=3 to n=1 then :
ΔE = E₁ - E₃

Can we manipulate this to get :
1/λ= R (1/n_f² - 1/n_i²)

 

[Dr. Courtney]

Yes, the same wavelengths of light are emitted when an electron moves to a lower state as are absorbed when an electron moves to a higher state.