Leo Moser studied the effect that two face-to-face panes of glass have on light reflected through the panes. If a ray is not reflected, it has just one path through the glass. If it has one reflection, it can be reflected two ways. For two reflections, it can be reflected three ways. Make a conjecture about the number of paths for n reflections.

A. 1, 2, 3, 5, 7,....
B. 1, 2, 3, 4, 7,....
C. 1, 2, 3, 4, 5,....
D. 1, 2, 3, 5, 8,....
E. 1, 2, 3, 6, 12,....


Answer: D

Mathematics

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