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

Help me plzzzzzzzzz​
find the mode of the given data 4,6,5,9,9,9,9,10,12.​
prove that under root 2 is a irrational number​
An experiment was conducted to see if there is any difference in the amount of weight gained by two groups of pigs fed + Feed # Pigs
You own Bond B and are concerned about interest rates increasing soon. You have chosen Bond H to hedge your B risk. The greater H's dv01:__________.a) the more
What is the answer to (8y -6
TOPIC 2. which habits are good and bad for you
what is the difference between cell and cellmembrane​
Your business uses instant messaging to enable technical support personnel to communicate easily with customers. What should you do to secure technical support
Read the excerpt from “A Genetics of Justice” Which statement best analyzes how the author develops the central idea across the paragraphs?