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

What is the main virtue expected out of a vassal to their lord?
4 unit squares each have 5/7 of their area shaded. What is the total area that is shaded?
Write in slope-intercept form an equation of the line that passes through the given points (0,-5) and (3,1)
Directions: Simplify the following expressions. Refer to the rules for signed numbers in solving these problems. Example: - 4 + 5 = +1 (the signs are different,
What are the colors of warning signs indicating upcoming hazards?
What was the trend in the number of representatives for free states? Please help, I’ll give brainliest!
What value of x makes the equation true? −4(x−3)=−28
1/6 4/6 3/6 least to greatest
The chart below shows some events in Earth's history and the primary sources of information which were examined to date the events. Earth event millipedeappears
How many North Carolinians fought for the Confederacy during the Civil War? about 1,200 about 12,000 about 120,000 about 1,200,000.