Question

helium emission spectrum

Answer 1

goal was to calculate "ni". not sure if i did my calculations correctly. would appreciate if someone looked over my work

Answer 2

ni should be 3,4,5,... Because it is emission.
I think it is not question of rounding.

I suggest you first solve ni from equation and then add values.
It's easier with units then.

Good work!

Answer 3

I was actually a little unsure where the value for "nf" was 2. Would i need to correct that?

Answer 4

Right, He has two electrons in first atomic orbital.
Try to calculate with nf = 1. Because then excited electron
Of He returns to ground state.