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in Geometric Progressions by (15.7k points)

Insert four geometric means between 6 and 192.

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1 Answer

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To find: Four geometric Mean 

Given: The numbers 6 and 192

Formula used:  r = \(\left(\frac{b}{a}\right)^{\frac{1}{n+1}}\), where n is the number of geometric mean

Let G1, G2, G3 and G4 be the three geometric mean

G1 = ar = 6×2 = 12 

G2 = ar2= 6×22 = 24 

G3 = ar3= 6×23 = 48 

G4 = ar4= 6×24 = 96

Four geometric mean between 6 and 192 are 12, 24, 48 and 96.

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