Infinite Series: How to Add Up a Gazillion Fractions

Do you like math? I do! But I don’t usually like SCHOOL math because it’s mostly boring busywork.

Here is one of the problems we did in Math Club recently: Cut up pieces of a cake to add them up, and find out what the total would be if you could keep going forever.

\frac{1}{3} +  \frac{1}{9} +  \frac{1}{27} +  \frac{1}{81} +  \frac{1}{243} ... = ?

(Each piece is 1/3 the size of the piece before it.)

Hey, if a 7-year-old girl can do it, then you can, too!

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One response to “Infinite Series: How to Add Up a Gazillion Fractions

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