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IMAS 2018 — Middle Primary Grades 3–4 — Round 2 Question 15

IMAS · IMAS 2018 — Middle Primary Grades 3–4 — Round 2

Question 15

An infinite sequence of numbers 1, 2, 3, 5, 8, 3, 1, 4, 5, 9, 4, ... follows the pattern such that starting from the third number, each number is equal to the units digit of the sum of the two numbers in the sequence immediately preceding it. What is the 2019th number of the sequence?