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

Cette phrase est grammaticalement correcte. Les films qu'ils ont vus sont méxicains. True False Cette phrase est grammaticalement correcte. L'amie qu'elle a pa
What is the basic unit of all organisms that can carry out all life processes?
The midpoint of a segment is(2,1) and one endpoint (8,7).find the coordinates of the other endpoint
question 18, smh algebra sucks
Can someone help with this question
julie has 3/4 quart of fruit juice. she pours the same amount into each of the 4 glasses. which equation represents the fraction of a quart of fruit juice n tha
jack read 90 pages of a book in six hours. what is the average number of paged he read each hour
For 4 days, you give a patient 1 1/2 oz of medication 5 times per day. How much medication did you give the patient over the 4 days?
State two ways on how how he can improve his stability while surfing. Give reasons for your answers.
The value of each variable