Recursive Formulas - Definition & Examples

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Define a sequence $\{a_n\}$ by $a_1=a_2=1, a_3 = 2$ and

a_n + a_{n-3} = a_{n-2}+a_{n-1}

for $n > 3$ . Find all positive integers $n$ such that $a_n = 2018$ .

Source: Lexington Math Tournament

Choose all correct answers

Option A: A

$2017$

Option B: B

$2018$

Option C: C

$2019$

Option D: D

$2020$

Option E: E

$4035$

Option F: F

$4036$

Option G: G

$4037$

Option H: H

$3027$

Option I: I

$3028$

Option J: J

$3029$

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