Finding n for Line Spectra with 400 nm Wavelength

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I was given 400 nm. I was tasked to find n but i kept getting a value which is a not a integer. The value of n must be an integer right?

1/W = R(1/4 - 1/n^2)

manipulate

n=sqrt(4RW/RW-4)

where R=1.097e7

n=6.752

I am thinking to make n as 6. But are there values of n greater than 5?
 
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n can take any integer number(greater than zero), and since you got n=6.752, I would give the answer n=7.

n = 7 gives you W = 397nm ...
 
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