olymmath

AMC 8 2015 Problem 18

  • Paper

An arithmetic sequence is a sequence in which each term after the first is obtained by adding a constant to the previous term. For example, 2,5,8,11,142,5,8,11,14 is an arithmetic sequence with five terms, in which the first term is 22 and the constant added is 33. Each row and each column in this 5×55\times5 array is an arithmetic sequence with five terms. The square in the center is labelled XX as shown. What is the value of XX? (A) 21(B) 31(C) 36(D) 40(E) 42\textbf{(A) }21 \textbf{(B) }31 \textbf{(C) }36 \textbf{(D) }40 \textbf{(E) }42

Dataset text NuminaMath-1.5. Quoted with source.

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