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

If p(t)=5t4+17t3–8t2+13t–12, use synthetic division to find p( – 4).
This timeline woulchre useful to someone who was writing a report titled
PLEASE HELP ME GIVING BRAINLEST AND NO LINKS!!!
the mass of a monarch butterfly is 0.56 g what is the mass of 4 monarch butterflies?
Watch the Voices of Children Documentary and answer this question: How can we learn from children what they believe their rights should be?
What is the area surface of the pyramid please do not do any files or links just say the answer and do not guess
please urgent please beg
need answers asap please besties<3​
Which of these passages is an example of cohesive writing? 1. Arrowheads and other projectiles, or sharpened objects, have been around for thousands of years. A
I WILL BE GIVING BRAINLIEST! Why did this message lead the United States to declare war? Mexico entered the war on the side of Germany. Mexico did not respond