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

Question

Mathematics

Rachel Page

18 May, 09:50

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

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Answers (1)

Know the Answer?

Reagan Short · Answer 1

-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