A terminating decimal means a number that repeats if that helps !
There winning rate is 12/18=2/3. So if they continue at that same rate they will win:
162(2/3)=108 times
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Answer: Diverges</h3>
Each time we multiply by 3 to get the next term
4*3 = 12
12*3 = 36
36*3 = 108
The sequence grows without bound. In other words, it does not approach a finite value. The common ratio is r = 3, which makes -1 < r < 1 false, so that is an algebraic way to see why the sequence diverges.