Answer:
Number of spectral lines = \[\frac{({{n}_{2}}-{{n}_{1}})({{n}_{2}}-{{n}_{1}}+1)}{2}\]
\[{{n}_{2}}=6,\,\,{{n}_{1}}=1\]
\[\therefore \] Number of lines = \[\frac{(6-1)(6-1+1)}{2}=15\]
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