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MathNet 2026 — Part 07 Question 107

Math Olympiad Vault · MathNet 2026 — Part 07

Question 107

A sequence of numbers is defined using the relation
$$
a_{n} = -a_{n-1} + 6 a_{n-2}
$$
where $a_{1} = 2$, $a_{2} = 1$. Find $a_{100} + 3 a_{99}$.