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Sweden Contests
Swedish Mathematical Competition
2002 Swedish Mathematical Competition
1
1
Part of
2002 Swedish Mathematical Competition
Problems
(1)
268 numbers are written around a circle
Source: 2002 Swedish Mathematical Competition p1
3/21/2021
268
268
268
numbers are written around a circle. The
17
17
17
th number is
3
3
3
, the
83
83
83
rd is
4
4
4
and the
144
144
144
th is
9
9
9
. The sum of every
20
20
20
consecutive numbers is
72
72
72
. Find the
210
210
210
th number.
algebra
Sum
combinatorics