Me neither!

Is there a way to do this as an attendee (and not the meeting organiser)?!

I found a way to do it, but not quite as instructed. In the calendar view, click on one of the meetings (but don't double-click to open it). In the Ribbon, the Calendar Tools menu should appear including Meeting Series. Then you can click on Recurrence, edit the End by date, and press OK. The annoying thing is that you'll immediately get meeting reminder for the last occurrence (which may have been days ago).

I don't know what happens if the meeting organiser later sends an update - at a guess, the safest thing would be to delete the new invitation. I also suspect that later if you do need to start participating again, the organiser will need to forward the invitiation to you again, and the entire series will be back in your calendar (including the ones that you weren't participating in).

Thanks, Tim! That worked great. I hadn't noticed the Recurrence button on the ribbon when just clicking a meeting.

PS: I added the Recurrence button to my meeting ribbon, but it is grayed-out for recurring meetings where I am not the organizer.

Update: sorry, looks like this doesn't work. The future meetings that I had removed have all reappeared in my Calendar.

Thanks Tim, that seems to work, though it does not allow the preservation of any past amendments to the series. So if you had made changes to a particular past occurrence, that would be removed and replaced with the original again meeting series again.
Ideally I am looking to remove (or decline) any future occurrences, while retaining all the past meetings as is.

This works but is not persisted. I can successfully remove future occurrences of a meeting, until it re-syncs with Exchange which then puts the meetings back.