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.

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12-08-2014
Mathematics

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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.

Sagot :

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Biyaidn Biyaidn · Answer 1 · 2014-08-12T12:47:12-04:00

Biyaidn Biyaidn

12-08-2014

they could all be 8.

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

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AL2006idn AL2006idn · Answer 2 · 2014-08-12T12:51:15-04:00

AL2006idn AL2006idn

12-08-2014

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 .

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Sagot :

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