UPSKILL MATH PLUS

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If \(a\), \(b\), \(c\) are three consecutive terms of an A.P. and \(x\), \(y\), \(z\) are three consecutive terms of a G.P. then prove that \(x^{b - c} \times y^{c - a} \times z^{a - b} = 1\).
 
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This is a self-assessment task. Solve this question and assess the solution steps after the test's completion on your own.