If \( l, m, n \) are three numbers in G.P., prove that the first term of an A.P. whose \( l^{\te...

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If \( l, m, n \) are three numbers in G.P., prove that the first term of an A.P. whose \( l^{\text {th }}, m^{\text {th }} \), and \( n^{\text {th }} \) terms are in H.P. is to the common difference as \( m+1 \) to 1
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