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Effectus [21]
2 years ago
5

Find three geometric means between -2/3 and -54

Mathematics
1 answer:
White raven [17]2 years ago
5 0

Answer:

-2,-6,-18

Step-by-step explanation:

let g1,g2,g3 be three G.M.s between -2/3 and -54

now -2/3,g1,g2,g3,-54 are geometric

n=5

an=a1 r^{n-1}

-54=-2/3 r^{5-1}

r^{4}=-54×-3/2=81=3^4

r=3

g1=a1×r=-2/3×3=-2

g2=a1×r²=-2/3×3²=-6

g3=a1×r³=-2/3×3³=-18

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