What is the electron energy level transition that produces an energy
of 4.84 x 10e-19 J? (For hydrogen-like particles, n2 is 2 and n1 can
be 3, 4, 5, or 6 for wavelengths in the visible region of the spectrum

For Hydrogen ,when n2=1 ,E2=-13.6eV   and   4.84 x 10e-19 J=3.025eV (
1eV=1.6x10e-19J, eV=electron-volt)

if n2=2 ,E2=-13.6eV/4=-3.4eV

we can got an equation A:

3.025eV= E1-E2=-13.6eV/(n1 x n1) -(-3.4eV)

so n1=6

but if the nuclear charge number ?we usually use Z to symbolize it?? 1? 

the energy of each electron energy level should be multiplied by Z ?so
the equation A must be changed?

3.025ev? Z x E1?Z x E2.