Question

if g1,g2,g3 are the three geometric means between m and n,then show that g1g3=g2^2=mn.

Answer 1

Answer:

g1g3 = g2^2 = mn

Step-by-step explanation:

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

Answer 2

Answer:the ans is g2 power 2

Step-by-step explanation:hope it helps u