MathDB
Math Prize 2017 Problem 18

Source:

September 27, 2017
Math Prize for Girlsarithmetic sequence

Problem Statement

Let xx, yy, and zz be nonnegative integers that are less than or equal to 100. Suppose that x+y+zx + y + z, xy+zxy + z, x+yzx + yz, and xyzxyz are (in some order) four consecutive terms of an arithmetic sequence. Compute the number of such ordered triples (x,y,z)(x, y, z).
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