enriquecastillo7672 enriquecastillo7672
  • 04-01-2021
  • Mathematics
contestada

What is the fifth term of the geometric sequence whose first three terms are 486, 162, and 54?

a. 2
b. 3
c. 4.5
d. 6
e. 9

Respuesta :

fichoh
fichoh fichoh
  • 04-01-2021

Answer:

6

Step-by-step explanation:

an = ar^(n-1)

a = first term

n = nth term

r = common ratio

r = r2 / r1 = r3 / r2

The first 3 terms are :

486, 162, and 54

Hence,

a = 486

r = 162 / 486 = 1/3

Hence ;

a5 = 486(1/3)^5 - 1

a5 = 486(1/3)^4

a5 = 486(1 / 81)

a5 = 486 * 1 / 81

a5 = 486 / 81

a5 = 6

The 5th term of the geometric progression will be ; 6

Answer Link

Otras preguntas

Based on these passages, what is the main difference between the teachings of W.E.B. DuBois and Booker T. Washington?
Which sentence uses commas correctly? We have tickets to fly to Los Angeles, California on Friday, October 29. We have tickets to fly to Los Angeles, California
which expression is equivalent to 3×+14+3×+10?
What's the difference between 1 fifth of 10 and 5 times 10
zoom in please I have another page
list the properties that all rhombus especially share.
When Chief Seattle refers several times to the angry young men in his tribe, he's A. urging his audience to unite against the whites. B. blaming the
For a scientific experiment, a physicist must make sure that the temperature of a metal does not get colder than −78 °C. The physicist changes the metal's tempe
Which describes the wavelength of a wave? A. the distance from the crest to the rest position B. the distance from one point on a wave to the next similar po
give two reasons why men could be victims of violnce