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

Why are large companies like Exxon and Mobil suddenly interested in learning more about ionic liquids?
Two Brothers Moving prepared the following sales budget: Month Cash Sales Credit Sales March $20,000 $10,000 April $36,000 $16,000 May $42,000 $40,000 June $54
What is the solution to the equation 1/4 x + 2 = -5/3 x -5
4x - 23(8x + 3x + 5x2)​
FRUIT BASKET PRICES Weight Price 5 pounds $39 10 pounds $69 15 pounds 599 25 pounds $159 Ana sells gift baskets of fruit. She sets her prices by charging a fixe
1. Convert 0.00006125 to scientific notation
what does it mean to ratify something
Why is mental-emotional health important?
What is the missing value to the equation -3x + 7y = 5x + 2y
Identify three misconception each of any five topic's in mathematics