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

Is anyone willing to do my ixl? I have loads of work to do and I need my ixl due tonight. It’s 8th grade math and I’d appreciate any help
Someone please help me thank you
dgv-vsih-oxwdgv-vsih-oxwdgv-vsih-oxwdgv-vsih-oxw​
Find the value of x. 6x 2x 11.25 0 16.25 58 032
"Frank!" his mother called. "it's time to come in for dinner." Which word needs a capital letter? O 1. his 02. mother 03. it's O 4. dinner
Complete the code. import CSV inFile = open('pets.txt', 'r') myReader = reader(inFile) for item in myReader print(item)
substract 8 times the sum of a and b from 9y​
Which famous general was defeated at the Battle of Little Bighorn? Robert E. Lee Ulysses S. Grant George Armstrong Custer
what you know about rolling down in the deep?
A N S W E R Q U I C K L Y P L E A S E