Hiiii I’m Azure131!

Currently in high school lol

Joined cause I found an interesting function and wanted to document it!!

Function is

Where n/m < 1

${\displaystyle \sum _{i=1}^{\infty }\prod _{p=1}^{i}{\displaystyle {\frac {n}{m}}}={\displaystyle {\frac {n}{m-n}}}}$

Or alternitavely

${\displaystyle \sum _{i=1}^{\infty }{\displaystyle {\frac {n}{m}}}^{i}={\displaystyle {\frac {n}{m-n}}}}$

Or

${\displaystyle \sum _{i=1}^{\infty }n(m^{-i})={\displaystyle {\frac {n}{m-n}}}}$

There! Now it looks nice and proper :)

In a nutshell, if you add all the powers of a fraction less than one, you get a number that’s the numerator divided by the denominator minus the numerator!!

Pretty cool right?!?

Might do some stuff here and there as well

Hopefully I won’t be a nuisance