zeno9901 zeno9901

02-01-2023
Mathematics

Answered

A bug walks all day and sleeps all night. On the first day, it starts at point O, faces east, and walks a distance of 5 units due east. Each night the bug rotates 60Â° counterclockwise. Each day it walks in this new direction half as far as it walked the previous day. The bug gets arbitrarily close to the point P. Then OP^2=m/n, where m and n are relatively prime positive integers. Find m+n.

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