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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

$$\overline{)\begin{array}{ccccccccccc}n& 0& 1& 2& 3& 4& 5& 6& 7& 8& 9\\ a_n& 0& 1& 1& 0& -1& -1& 0& 1& 1& 0\end{array}}$$$$a_{3n}=0$$$$a_{3n+1}={(-1)}^n$$$$a_{3n+2}={(-1)}^n$$$$\Rightarrow a_{885}=a_{3\times 295}=0$$

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