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

Carolina: Perdona, pero no _________ ir contigo al concierto. Diego: No hay problema. A. podremos B. podré C. podrá D. podrán
3x+5=4 two step equations
what effect do stimulants, such as cocaine, have on the nervous system?
What are 10 things that dissolve in water
A chemist needs a solution of tannic acid 70% pure. How much distilled water must he add to 5 gallons of acid which was 90% pure to obtain the 70% solution?
The map shows early North America. Which settlement does the colored region of the map depict? New Spain in 1750 New France in 1750 New France in 1500 New Spain
1. Which 4 careers expectations steps are missing ? Whats the trend? whats the education? a) What are the goals? b) How can you make the most money? c.
Which equation represents the general form a circle with a center at (–2, –3) and a diameter of 8 units?
what is mitosis i want to know for a test
MUTIPLE CHOICE! worth: 10 points pls help meh