sharania3105 sharania3105

01-08-2021
Mathematics

contestada

Find the number of terms of the geometric progression 81, 27, 9,....,1/81

Respuesta :

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

Which description of Alexander Hamilton is correct? A. the commander of British troops in the South who lost the Battle of Yorktown B. a young officer on Washin

What aspect of the Columbian Exchange is considered by many to have made possible the European conquest and colonization of the Americas? I'm thinking it's dise

Why were industrial and agricultural surpluses a problem for the US economy?

Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 3?

If a test has 95 questions how many points would each question be worth? Using your answer how many could you miss without going below an 80?

Which best describes Islam? a. It was founded in Rome b. It does not involve prayer c. It uses the Torah d. It was monotheistic

Which of the following contributed to the start of civil wars and Mali's decline

Nitrogen is important to life because it is part of _____. DNA, amino acids, and proteins plant photosynthesis the air we breathe lightning storms

. (3 pt) What was the Ottoman Empire known for? A. People there experienced cultural and religious toleration. B. Shahs there supported the arts. C. The empire

Is \frac{6}{12} proportional to \frac{8}{10}