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

Which item is made from a synthetic material?
what is 32,020.2o rounded to the nearest tenth
Calculate the AMA of an access ramp if it takes 255 N of force to push a person in a wheelchair having a combined weight of 764 N up the incline. a)2.50
¿Que diferencias hay entre plaguicidas y fertilizantes?
HURRY I NEED THIS ASAP IN 15MIN TOPS!!! EASY POINTS!!!THE MATCH There never was a time when the world was without fire, but there was a time when men did not kn
Select all of the steps for calculating net worth. select all that apply List your assets. Total your assets. List the names of your credit cards. Total your li
Gelatin has a density of 1.27 g/cm³. if you have a blob of gelatin dessert that fills a 2.0 liter bottle, what is its mass?
Please help answer statistics question? Statistics professor plans classes so carefully that the lengths of her classes are uniformally distributed between 50.0
which philosophy was used primarily within the qin dynasty
The length of a rectangular is 2/5 meter.It's width is 1/4 of its length .What is the perimeter of the rectangle?