geometric series

Rationals Dense but Sparse

Posted on June 29, 2019 by Samuel Nunoo

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

Posted on June 29, 2019 by Samuel Nunoo

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

Posted on June 26, 2019 by Samuel Nunoo

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

Posted on June 26, 2019 by Samuel Nunoo

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...