Answer
See below
Work Step by Step
The total distance traveled by the ball is: $$2\times6+2\times4.5+2\times3.375+...\\=2(6+4.5+3.375+2.531+...)\\=2(6+6(0.75)+6(0.75)^2+6(0.75)^3+...)\\=2\sum 6(0.75)^{i-1}$$
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