igbi igbi
  • 19-08-2021
  • Mathematics
contestada

Find a2 and a3 for the geometric sequence 4, a2, a3, 108.

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 19-08-2021

9514 1404 393

Answer:

  a2 = 12

  a3 = 36

Step-by-step explanation:

Terms of a geometric sequence have a common ratio. If we call that ratio r, then we have ...

  a2 = 4r

  a3 = (a2)r = 4r^2

  108 = (a3)r = 4r^3

  27 = r^3 . . . . . . . . . . . divide by 4

  3 = r . . . . . . . . . . cube root

__

  a2 = 4(3) = 12

  a3 = 12(3) = 36

Answer Link

Otras preguntas

One reason it's often easy to miss and action reaction pair is because of ?
Which choice avoids fragments to present the information clearly and correctly? a) Mr. Lang's fundraiser was a success because of his teenage daughter's compute
What two political parties had evolved by 1828? National Republicans and Whigs Democrats and Whigs National Republicans and Democrats
A robot can complete 8 tasks in 5/6 hour. What is the unit rate per task? What is the unit rate per hour?
The thin outermost layer of the solid Earth is called the: mantle asthenosphere outer core crust
Literary Focus: Extended Metaphor The questions below refer to the selection “Digging.” An extended metaphor — a. is a metaphor that cannot be expressed in word
what are 5 functions that the work of the heart accomplishes?
What are the main reasons why excess weight affects physical fitness? The heart has to pump harder. It is more difficult to exercise. The person sweats more. Th
what is GCF mean and Lcm ?
Why can't the subscripts be changed?