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

where do new genes come from
Lizzie loves to stargaze at night. She has noticed that the moon appears to change shape over the course of the month, and she wants to investigate why this hap
How many artists could be featured in the show?
Toby's house is 25 feet high. How high is Toby's house in yards and feet?
simplify 100 A. 20 B. 10 C. -10 D. -25
Depth is the_______ a. apparent distance from front to back in a piece of artwork. b. distance or area between,around,above,below,and within objects. c. degree
How us technical writing used?
What is the definition of a multicellular organism?
When the mover pushes the box, two equal forces result. Explain why the box moves
If a golf ball and a bowling ball are rolling at the same speed, the _________ ball has a greater momentum.