A Mathematician Walks into a Bar

Algebra Level 1

An infinite number of mathematicians walk into a bar. The first mathematician says I would like $1$ bottle of beer. The second mathematician says he wants $\frac { 1 }{ 2 }$ and the third mathematician says he wants $\frac { 1 }{ 4 }$ of a bottle of beer. This goes on for a while, and then the bartender grabs a certain number of bottles of beer, claiming that he will be able to provide a drink to all of the mathematicians (the infinite number) that walk into the bar. How many bottles of beer did the bartender grab?

The answer is 2.

1 solution

Dominick Hing
Oct 3, 2014

This would just be $\frac { 1 }{ 1 }+ \frac { 1 }{ 2 } + \frac { 1 }{ 4 } ...$ which simplifies to $2$

A Mathematician Walks into a Bar

The answer is 2.

1 solution

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