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 clement is a liquid at STP? (1) bromine (3) francium (2) cesium (4) iodine
What movement tried to end racial discrimination?
HOW WOULD YOU BE ABLE TO IDENTIFY streptococci THROUGH A MICROSCOPE
True or False? It's not possible to build a triangle with side lengths of 3, 3, and 3.
Given the balanced equation representing a reaction: H2O + HCl ==> H3O+ + Cl- According to one acid-base theory, the H2O molecule (1) accepts H+ ions (3
round 75.4614 to the nearest thousandth
Name one state that borders Mexico.
What is freedom of religion?
In what month do we vote for President?
The concentration of a solution can be expressed in (I ) milliliters per minute (2) parts per million (3) grams per Kelvin (4) joules per gram