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AMO 2027 Grades 8-9 SET 9 - Self-study Question 2

AMO · AMO 2027 Grades 8-9 SET 9 - Self-study

Question 2

A sequence is created by beginning with and repeatedly turning the arrow $45^\circ$counter clockwise. The first terms of the sequence are
$$\to,\nearrow,\uparrow,\nwarrow,\leftarrow,\swarrow,\ldots$$
Determine the 2019th figure in the sequence.