a-1-0-a-2-1-a-n-2-a-n-1-a-n-a-885-

Question Number 186688 by norboyev last updated on 08/Feb/23

a_{1} = 0

a_{2} = 1

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

a_{885} = ?

Commented by mr W last updated on 08/Feb/23

\begin{array}{cc} n & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\ a_{n} & 0 & 1 & 1 & 0 & - 1 & - 1 & 0 & 1 & 1 & 0 \end{array}

a_{3 n} = 0

a_{3 n + 1} = {(- 1)}^{n}

a_{3 n + 2} = {(- 1)}^{n}

\Rightarrow a_{885} = a_{3 \times 295} = 0

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