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2015 AMC 8 Question 18

AMC8 · 2015 AMC 8

Question 18

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, $2,$ $5,$ $8,$ $11,$ $14$ is an arithmetic sequence with five terms, in which the first term is $2$ and the constant $3$ is added. Each row and each column in this $5\times5$ array is an arithmetic sequence with five terms. What is the value of $X?$

Question illustration
  1. $ 21 $
  2. $ 31 $
  3. $ 36 $
  4. $ 40 $
  5. $ 42 $