Is this the only information the question gave? If you look up the ionisation energies of argon, they are here:
1520.6, 2665.8, 3931, 5771, 7238, 8781, 11995, 13842, 40760, 46186 kJ/mol
So the element must be Argon, the thing is that given the information you have I think it could be either a group 7 or group 8 element (no big increase in IE yet).
If it was group 7, the 8th ionisation would come from a lower energy shell (closer to nucleus) so there would be a really big increase in IE (like when you go to 9th one in the IEs of Argon I showed)
If it was group 8, it is safe to say the trend in numbers will continue giving around a number of 14000.
I think the only way to do this is by inference, but it seems unusual they don't give you the group of the element in the question? I've seen similar questions which tell you the group