Let a1,a2, and a3 be real numbers such that |a1−a2|+|a2−a3|+|a3−a4|+|a4−a5|+⋯+|a9−a10|+|a10−a1|=500. What is the largest possible value of |a1−a6|?
The largest possible value of |a_1 - a_6| is 100.