The principal quantum number \( n \) corresponding to the excited state of \( He^+ \) ion, if on transition to the ground state two photons in succession with wavelengths \( 1026 \text{\AA} \) and \( 304 \text{\AA} \) are emitted:
\((R = 1.097 \times 10^7 \text{ m}^{-1})\)