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

A machinist needs a piece of steel that is exactly 19.825 inches long. He plans to cut this from a steel bar that is 20 inches long. How much of the steel bar
How does Classroom/School performance positively influence job performance? (i need an idea to start for my essay)
A produce store sold 63 red apples If the ratio of red apples to green apples sold was 7:2 what is the amount of green apples sold
What did the Aztecs capture other tribes and kill them
Using the prototype model, how would one form a concept of a fish?
-5v+6=-12+62 What is v?
1. In Part 1 of the field study, you qualitatively compared images of sea surface temperature data. Discuss how remote sensing, in this case, was more valuable
How did the astronauts survive
According to Henry, what body or bodies are allowed to tax colonists?
What plans the proposed 1819 Tallmadge Amendment articulated?