Principle quantum number n of the excited state

[Bolter]

Homework Statement

See image below

Relevant Equations

Rydberg equation

Here is a question I have been given

I have started by setting up the formula and rearranging for n_2

Only problem is that I do not know the quantum number for ground state? What value do I sub in for n_1?

Any help would be appreciated! Thanks

 

[kuruman]

Ground state is $n=1$ by definition.

 

[Bolter]

Ground state is $n=1$ by definition.

Thanks I thought it would be zero but that wouldn't work at all. I get n_2 to be roughly 3 which seems right