Difference between revisions of "G285 2021 Fall Problem Set Problem 8"
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>...") |
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Revision as of 12:39, 11 July 2021
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
