proof that the energy of the first spectra line in Lyman series E =3/4Eo

Eo=2.18×10-18

First line Lyman Series is transition from n2 = 2 to n1 = 1

E = Eo(1/1^2 - 1/2^2)
E = 2.18E-18(1-1/4)
E = 2.18E-18(1-0.25)
E = 2.18E-18(3/4)