Frogs,Frogs.................
Number Theory
Level
2
Five points on a circle are numbered 1,2,3,4 and 5. A frog jumps in a clockwise direction from one point to another. If it is on an odd point, it jumps one point, and if it is on an even one, it moves two points. It begins on point 5. After 2015 jumps, what will be its position?
The answer is 2.
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5 1 2 4 1 2 4 1 2 4 and so on, now what we need is do 2014mod3.