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

Which two pieces of evidence support the conclusion that the total amount of energy in a closed system remains the same? The car's engine makes sounds as it ru
What is the theme of the story, The Intresting Narrative of the Life of Olaudah Equiano? Is it implied or stated?
and a point on the line are known, the equation of the line can be found using the slope-intercept form, y= Jalues of x and y using the coordinates of the given
Describe the mechanism of gaseous exchange in mammals
Write 4716 in scientific notation.
plzz help!!!!!!!!!!!!!
What’s the factory of 15y - 21z
what causes an object to stay ar rest
In a laboratory, a student combines vinegar and baking soda into a beaker. The initial temperature is 28 degrees Celsius and the final temperature reading two m
the length of my living rooom is 24 feet. the width of my living room is 1/2 the length. what is the area of my living room.