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

Please solve this sheet.
what is formal language
Why was the Kingdom of Axum an important region on the Silk Road?
Tim does a study to determine whether or not cigarette smoking decreases speed in track runners
which of the following is an example of Asian influence in Middle and South America? A) chifa B)reggae C) haciendas D) vaudou
John bought a used truck for $4,500. He made an agreement with the dealer to put $1,500 down and make payments of $350 for the next 10 months. The extra cost pa
how many years are in 33 months?
Which one of the following sentences has an error in capitalization? A. We crossed the Snake River and miles of nothing much on our way to Abilene. B.
Write a paragraph about National Sovereignty in Ukraine (20 POINTS)
Gus is painting his house. he use per 2 quarts of paint p hour Gus paints for 8 hours. how many gallons of paint did he use.explain