Geometrische Reihe/Noch ein Bier/Aufgabe/en

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Two people, and , are in a pub. wants to go home, but still wants to drink a beer. “Well, we just drink another beer, but this is the very last” says . Then B wants another beer, but since the previous beer was definitely the last one, they agree to drink a last half beer. After that they drink a last quarter of a beer, and then the last eighth of beer, and so on. How many “very last beer” do they drink overall?