sharania3105
sharania3105 sharania3105
  • 01-08-2021
  • Mathematics
contestada

Find the number of terms of the geometric progression 81, 27, 9,....,1/81

​

Respuesta :

jasongggg
jasongggg jasongggg
  • 01-08-2021

Answer:

9

Step-by-step explanation:

r = 27/81 = 1/3

a = 81

Tn = 1/81

ar^(n-1) = 1/81

81(1/3)^(n-1) = 1/81

(1/3)^(n-1) = 1/6561

(1/3)^(n-1) = 1/3^(8)

Compare the exponents,

n-1 = 8

n = 9

Answer Link

Otras preguntas

Who was the Baseball player who turned into a Christian Evangelist ?
After the fall of the Roman Empire, the Merovingian dynasty of the Franks __________.
how many colonies were founded in the 1620's?
Most apprentices were between eight and 10 years old when they went to live with an artisan. How would you feel about becoming an apprentice now? Why?
what is the estimate of the sum of 6/10 + 7/12
-6u-6y=66 2v+4y=-32 v=. Y=
what is the answer to (x-2)(x+2)
The function {(1, 4), (2, 5), (3, 6)} has the function rule y = 3x + 1.True or false? Please help!
modern sea star larvae resemble some primitive vertebrate larvae.this similarity may suggest that primitive vertibrates
Aristotle A. wrote works praising one of the other philosophers who left no writings B. taught by asking questions C. analyzed how people used and could use log