If \( a, b, c \) are in A.P.; \( b, c, d \) are in G.P. and \( \fra...

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If \( a, b, c \) are in A.P.; \( b, c, d \) are in G.P. and \( \frac{1}{c}, \frac{1}{d}, \frac{1}{e} \) are in A.P. prove that \( a, c, e \) are in G.P.
\( \mathrm{P} \)
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