# Geometrische Reihe/Noch ein Bier/Aufgabe/en

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Two people, ${\displaystyle {}A}$ and ${\displaystyle {}B}$, are in a pub. ${\displaystyle {}A}$ wants to go home, but ${\displaystyle {}B}$ still wants to drink a beer. “Well, we just drink another beer, but this is the very last” says ${\displaystyle {}A}$. 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?