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IMSO 2018 — Math Division — Short Answer Question 13

IMSO Maths · IMSO 2018 — Math Division — Short Answer

Question 13

Given the sequence 1, 1, 1, 3, 5, 9, 17, 31, …, where the $n$th term after the 3rd term is the sum of three previous terms. For example, the 4th term is $1+1+1=3$ and the 5th term is $1+1+3=5$. What is the remainder when the 2018th term is divided by 8?