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 did female factory workers like Charlotte Woodward support the women’s rights movement?
List the perfect squares between 100 and 500 that are even numbers
what are some fun facts on animal and plant cells.
what is the value for the expression -5+ 5
Rectangular classroom seats 72 students. If the seats were rearragned with 3 more seats rows in each row, the classroom would have 2 fewer rows. Find the origin
how many kilograms is in 12,321grams
simplify expression.-3(k-4)-4(2k-8)
Containment was a policy in which the U.S. tried to do what?
how come some girls don't get period cramps?
How do you work this problem?