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Arithmetic Sequence

Source: 1988 National High School Mathematics League, Exam One, Problem 6

February 25, 2020
arithmetic sequence

Problem Statement

Let x≠yx\neq y. Two sequences x,a1,a2,a3,yx,a_1,a_2,a_3,y and b1,x,b2,b3,y,b4b_1,x,b_2,b_3,y,b_4 are arithmetic sequence. Then b4−b3a2−a1=\frac{b_4-b_3}{a_2-a_1}=________.
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