G285 2021 Fall Problem Set Problem 8
Revision as of 11:39, 11 July 2021 by Geometry285 (talk | contribs) (Created page with "==Problem== If the value of <cmath>\sum_{a=1}^{\infty} \sum_{b=1}^{\infty} \sum_{c=1}^{\infty} \frac{a+2b+3c}{4^(a+b+c)}</cmath> can be represented as <math>\frac{m}{n}</math>...")
Problem
If the value of ![\[\sum_{a=1}^{\infty} \sum_{b=1}^{\infty} \sum_{c=1}^{\infty} \frac{a+2b+3c}{4^(a+b+c)}\]](http://latex.artofproblemsolving.com/8/5/f/85f0f64854e36d794f0bba37485d8ec55d02dd08.png)
can be represented as 
, where 
and 
are relatively prime. Find 
.
Solution
Geometric series spam
