Maths

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.

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asked by Tanvi
  1. 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.

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    posted by Steve

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