Brilli's decagon hopping workout
Number Theory
Level
1
Brilli the ant stands on vertex 1 of the regular decagon below.
- He starts by hopping 1 space at a time (from 1 to 2, then from 2 to 3, and so on). He performs 10 hops in this way.
- He then hops 2 spaces at a time (from 1 to 3, then from 3 to 5, and so on). He performs 10 hops in this way.
- He continues to increase the hop distance every 10 hops: hopping 3 spaces 10 times, then hopping 4 spaces 10 times, and so on.
- After Brilli has hopped 10 spaces 10 times, he ends his workout.
When Brilli has completed his workout, which vertex will he be standing on?
by
Andy Hayes