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AMC 12 2013b Problem 14

  • Paper

Two non-decreasing sequences of nonnegative integers have different first terms. Each sequence has the property that each term beginning with the third is the sum of the previous two terms, and the seventh term of each sequence is NN. What is the smallest possible value of NN ?

\textbf{(A)}\ 55 \textbf{(B)}\ 89 \textbf{(C)}\ 104 \textbf{(D)}\ 144 \textbf{(E)}\ 273

Dataset text AMC 12 2000 to 2025. Quoted with source.

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C

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