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

A small car is traveling at a speed of 60 mph on the highway. In the next lane, a large passenger bus is traveling at the same speed.
who likes anime /////////////////
Maturity Dates of Notes Receivable Determine the maturity date and compute the interest for each of the following notes: (Use 360 days for interest calculation.
name three semi permeable membranes in a plant cell​
Why did Russia join World War 1?
What percent of 22 is 56? Round your answer to the nearest tenth of a percent.
Can someone please help me, answer the questions that I recently asked
A piece of blue yarn is 6 2/10 yards long a piece of pink yarn is 7 times long as the blue yarn how much longer is the pink yarn
16. The exothermic reaction between liquid hydrazine (N,H) and liquid hydrogen peroxide is used to fuel rockets in the chemical equation: N,H,+ 2 H,0,0 → N,®) +
What is 27 to the 19th power