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in Sequence, Progression, and Series by (48.0k points)

A1,A2, are two A.M. between two positive numbers a and b two GM. G1, G2 and two H.M. H1, H2, then prove that : A1H2 = A2H1 = G1G2 = ab

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Best answer

Let two numbers are a and b, then

A1, A2 are two A.M. between a and b, then

Again G1, G2 are two G.M. between a and b, then a, G1, G2, b will be in G.P.

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