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In Mathematics / Middle School | 2014-08-12

2014 numbers are placed along the circumference of a circle. When any 5 successive numbers are added, the total is always 40. What are these 2014 numbers?

Find all possible answers.

Asked by Homeworkcookie

Answer (3)

they could all be 8.
2014 is not a multiple of 5, so there is no cycle of 5 numbers which repeats

Answered by biya | 2024-06-10

I believe the only way that ANY five successive numbers could have the same sum would be for all of the numbers to be the same. All of them must be 8s .

Answered by AL2006 | 2024-06-10

The 2014 numbers on the circle must be part of a repeating sequence of 5 numbers that add up to 40. For example, one possible solution is having each of the 5 numbers equal to 8. Therefore, any combination of numbers that averages to meet the same criteria will work as valid configurations.
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Answered by biya | 2025-06-19

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