Ononot — Let a, b, c be in arithmetic progression, and let x, y, z be

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Arithmetic Sequenceshard

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Let $a, b, c$ be in arithmetic progression, and let $x, y, z$ be in harmonic progression. If $a+x, b+y, c+z$ are also in arithmetic progression, which of the following relations must hold for non-zero $x, y, z$ ?