ν1 and ν2 are the frequencies of  limiting line  for Lyman and Balmer series. Which relation is correct for frequency ν3 of 1st line of Lyman series?

Given, frequencies of  limiting line of Lyman and Balmar series are as v1 and v2 respectivelyThusv1=hcv¯1=hcRH112-1∞2 = hcRHv2=hcv¯2=hcRH122-1∞2=hcRH4for the first line in Lyman seriesv3=hcv¯3=hcRH112-122=3hcRH4Thus v3=v1-v2