AHSME 1995 Problem 15

Five points on a circle are numbered 1,2,3,4, and 5 in clockwise order. A bug jumps in a clockwise direction from one point to another around the circle; if it is on an odd-numbered point, it moves one point, and if it is on an even-numbered point, it moves two points. If the bug begins on point 5, after 1995 jumps it will be on point $\mathrm{(A) \ 1 } \mathrm{(B) \ 2 } \mathrm{(C) \ 3 } \mathrm{(D) \ 4 } \mathrm{(E) \ 5 }$