Asked by Tanvi

2014 numbers are placed along the circumference of a circle. When any five successive numbers are added, the total is always 40. What are these 2014 numbers?

Please explain how you figured this out. Working is really appreciated.
Answered by Steve
Looks to me like they could all be 8. Are there any restrictions on the values allowed?

2014 is not a multiple of 5, so there is no cycle of 5 numbers which repeats.