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If mth, nth and rth terms of an AP are x, y and z respectively, then prove that: m(y – z) + n(z – x) + r(x – y) = 0

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If mth, nth and rth terms of an AP are x, y and z respectively, then prove that: m(y – z) + n(z – x) + r(x – y) = 0
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