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AMC12 2021a Test Paper
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Sample Question 8:

A sequence of numbers is defined by D0=0,D1=0,D2=1D_0=0,D_1=0,D_2=1 and Dn=Dn1+Dn3D_n=D_{n-1}+D_{n-3} for n3n\ge 3. What are the parities (evenness or oddness) of the triple of numbers (D2021,D2022,D2023)(D_{2021},D_{2022},D_{2023}), where EE denotes even and OO denotes odd?

(A) (O,E,O)(B) (E,E,O)(C) (E,O,E)(D) (O,O,E)(E) (O,O,O)\textbf{(A) }(O,E,O) \qquad \textbf{(B) }(E,E,O) \qquad \textbf{(C) }(E,O,E) \qquad \textbf{(D) }(O,O,E) \qquad \textbf{(E) }(O,O,O)




Answer Keys

Question 8: C