IKMC 2027 - Grades 11-12 - Self-study SET 2 - Thematic Batch 3 Question 28

Points ($x_{n}$, $y_{n}$) in the coordinate plane satisfy ($x_{1}$, $y_{1}$)=(2019,2020) and ($x_{n+1}$, $y_{n+1}$)=(−$y_{n}$, $x_{n}$) for every positive integer n. What is ($x_{2020}$, $y_{2020}$)?