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

Question

Nostrana [21]

3 years ago

8

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

at are these 2014 numbers? Find all possible answers.

Mathematics

2 answers:

igomit [66] · Answer 1 · 2022-07-22T11:14:17+03:00

igomit [66]3 years ago

6 0

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 .

kkurt [141] · Answer 2 · 2022-07-22T08:51:54+03:00

kkurt [141]3 years ago

3 0

they could all be 8.

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