Question 1209105
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first three weeks: won 0 games out of 9 games total
through 4 weeks: won 1 game out of 12 games total
through 5 weeks: won 2 games out of 15 games total
through 6 weeks: won 3 games out of 18 games total
...etc...
through n weeks: won n-3 games out of 3n games total


Divide the win count over the total, and multiply by 100, to get the win percentage
For instance if you won A = 3 games out of B = 18 total then winPercentage = (100%)*A/B = (100%)*3/18 = 16.67% approximately


This means 100*(n-3)/(3n) represents the win percentage through the n<sup>th</sup> week.


As n gets bigger and bigger, the win percentage will slowly approach 100*n/(3n) = 100*(1/3) = 33.3% approximately. It will never reach this value since this is an asymptote. 
So the upper bound is that you'll win a third of your games if you play out to infinity and this pattern of "1 win, 2 losses" continues.
This should be fairly obvious because for any given week you win 1 game out of 3 total. 
It's <u><font color=red>not</font></u> possible to win 60% of your games no matter how large n gets.
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