which of the following has the three geometric means of 45, -135, 405?
A. 15 and 1215
B. -15 and -1,215
C. 15 and -1215
D. -15 and 1215​


Sagot :

which of the following has the three geometric means of 45, -135, 405?

Answer:

B. -15 and -1,215

Step-by-step explanation:

an=a1(r)^n-1

-1215= -15(r)^5-1

-1215= -15(r)

-15 -15

⁴√81= ⁴√r⁴

-3= r

an=a1(r)^n-1

a2= -15(-3)^2-1

a2= -15(-3)

a2= 45

an=a1(r)^n-1

a3= -15(-3)^3-1

a3= -15(-3)²

a3= -15(9)

a3= -135

an=a1(r)^n-1

a4= -15(-3)^4-1

a4= -15(-3)³

a4= -15(-27)

a4= 405

an=a1(r)^n-1

a5= -15(-3)^5-1

a5= -15(-3)⁴

a5= -15(81)

a5= -1215

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