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 of the following are all examples of pollution contributors? A. cars, people, factories, plants B. cars, people, factories, schools C. cars, people, fac
Types of loss include all of the following EXCEPT: a. moving b. disability c. breakup d. friendship
Which U.S. President issued the directive to land a man on the moon? Dwight Eisenhower John Kennedy Lyndon Johnson Richard Nixon
The period of intermittent fighting between England and France that started in 1337 and ended in 1453 is known as _____. the Reformation the Middle Ages the Hun
Short-term goals can be set to help achieve specific long-term goals. a. True b. False
Natural selection favors pathogens with
The power to command or influence thought, opinion or behavior is the definition for what term?
Which of the following types of creams has the most milkfat? A. Coffee cream B. Half and half C. Heavy whipping cream D. Light whipping cream
where does potential energy come from
A _____ is a new substance formed in a chemical reaction.   A. coefficient   B. product