shinebrightsports shinebrightsports
  • 12-07-2021
  • Mathematics
contestada

What's the sum of the infinite geometric series where a1 = 240, and the common ratio is r = 1∕3 ?

Respuesta :

coolstick
coolstick coolstick
  • 12-07-2021

Answer:

360

Step-by-step explanation:

The formula for the sum of an infinite geometric series is a₁/(1-r), where a₁ represents the first value and r represents the ratio. We can plug in our values here to get

a₁/(1-r) = 240/(1-1/3)

= 240 / (2/3)

= (240/1) / (2/3)

= (240/1) * (3/2)

= 360

Answer Link

Otras preguntas

Very often, something you read will remind you of something that’s happened in your life or something else you’ve thought about. does life imitate art or does a
There have been many film adaptations of Mary Shelley'a novel Frankenstein. How do most adaptions differ from the original text version of the story?
How does the weight of your skin compare to the weight of your brain
where is macbeth going when he sees the bloody dagger?
which ratio is equivalent to 2:8
Which answer choice correctly completes the sentence? the foul ball was __________ in the lucky glove of a young baseball fan. a. caughten b. caught c. catch
The length of the hypotenuse, line segment AC, in right triangle ABC is 25 cm. The length of line segment BC is 15 cm.
One liter of strawberries weighs about 4 kilograms about how many liters of strawberries would weigh 400 gram
The idea that there were three types of political power was first suggested by A. Baron Montesquieu B. John Locke C. Jean Jacques Rousseau D. George Washinton
What is the greatest common factor of 37 and 93?