Well we all know that between any two real numbers there is a rational. Mathematicians like to say that the...

Continue reading...# geometric series

## Taylor-made Pi

After learning about the Taylor series for 1/(1+x) in calculus, you can find an interesting expression for Pi very easily. Start with...

Continue reading...## Cantor Set

Start with the interval [0,1]. Remove the (open) middle third of it, i.e. get (1/3, 2/3). Now remove the middle...

Continue reading...## Repunit Fun

A repunit is a whole number consisting of only 1’s, such as 1, 111, or 111111111. (It’s like a repeating unit.) These numbers have...

Continue reading...