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If g1,g2, 83 are three geometric means between m and n, then18253

Answer»

If g1,g2,g3 are the three geometric means between m and n then, m , g1, g2, g3 & n are in geometric progression.

g1/m = g2/g1 = g3/g2 = n/g3 --- (1)

∴ g1/m = n/g3

∴ g1g3 = mn ---(2)

g2/g1 = g3/g2

∴ g1g3 = g2^2 ---(3)

From (2) & (3),

g1g3 = g2^2 = mn

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