(adsbygoogle = window.adsbygoogle || []).push({}); Algorithms for infinite geometric series via long division??

I can't seem to find any algorithms for this on the internet easily.

If I have a function of the form [tex]f(x)=\frac{a}{x+b}[/tex] there should be an algorithm I can use to find some terms of the corresponding series [tex]\sum _{n=0}^{\infty}\frac{a}{b}\left(\frac{-x}{b}\right)^n[/tex]

I can't seem to comprehend how to carry out the division for something like that; obviously it's not absolutely necessary if you know how to find the series using long division, but saw this worked out before and couldn't make sense of it. How does it work?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Algorithms for infinite geometric series via long division?

**Physics Forums | Science Articles, Homework Help, Discussion**