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

HELPPPPP PLEASE =) 1. Andrew is twice as old as Nicole if n represents Nicole age which represents Andrew age A. 3 + n B. 2 + n C. 3n D. 2n
what distance will Rico bicycle in 2.5 hours
Which of these statements about saltwater is correct? 10 POINTS A. Saltwater freezes at a lower temperature. B. Saltwater freezes at a higher temperature C. Sal
Barbara creates a table of the six essential nutrients. Macronutrients : Micronutrients Carbohydrates : Fats Proteins : Vitamins Water : Minerals Where d
What does kingdom mean??
what Drew Stephen Austin to his geography area
Find the explicit formula ? -4,12,-36,108,...
in law 21, what is the penalty for breaking into a home?
What are the features of a good medicine?
Which is not a common factor of 15,45,90?