If a, b, c are in AP, show that $(b c - a^{2}), (c a - b^{2}), (ab - c^{2})$ are in AP.

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If a, b, c are in AP, show that

(b c - a^{2}), (c a - b^{2}), (ab - c^{2})

are in AP.

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Question Text

If a, b, c are in AP, show that

(b c - a^{2}), (c a - b^{2}), (ab - c^{2})

are in AP.

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