cassadeestonecipher2 cassadeestonecipher2
  • 12-12-2019
  • Mathematics
contestada

Use geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27

Respuesta :

danicadavila04
danicadavila04 danicadavila04
  • 12-12-2019

Answer:

18

Step-by-step explanation:

First, use the equation for geometric mean; an=a1r^n-1

*where is an is the number at an n term, r is the ratio and a1 is the first number of the sequence.*

12 = a1 r^5

27 = a1r^7

From the equations above,

a1 = 128/81

r = 3/2

Therefore, the 7th term is:

an = (128/81) (3/2)^6

an = 18

hope this helps :)

Answer Link

Otras preguntas

Does anyone know the answer ?!?!
why is it important for scientists to be curious?
Sean makes 2 pizzas he gives 8 people an equal share
Why do electrons rather than protons make up the flow of charge in a metal wire?
Which of the following marked the end of the Spanish-American War? A)the Treaty of Paris B)the Roosevelt Corollary C)the Treaty of Portsmouth D)the Gentleman’s
Why did the U.S. Senate ultimately fail to ratify the Treaty of Versailles (specifically, the League of Nations)? Why were there dire consequences for this de
How was the African Iron Age different from other religions
What is the difference between the stage manager and scenic designer. This is for My THEATER ARTS class.
rectangle......a to the power of 4 yards times a to the power of 9 yards
How did British policies for governing north America colonies shape how Colo lists viewed themselves and their relationship with the mother country?