Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Find the sum of the infinite series: 15+110+120+... Write your answer as a fraction using the "/" as the fraction bar with no spaces.

Sagot :

sqdancefan

9514 1404 393

Answer:

  2/5

Step-by-step explanation:

The common ratio is r = (1/10)/(1/5) = 5/10 = 1/2. The first term is a1 = 1/5.

The sum of an infinite geometric series is given by ...

  S = a1/(1 -r)

  S = (1/5)/(1 -1/2) = (2/10)/(5/10) = 2/5

The sum of the series is 2/5.

_____

It might stick in your head that the sum of 1 + 1/2 + 1/4 + 1/8 + 1/16 + ... is 2. The given series is 1/5 times that.

elephantlover1288

Answer:

the answer is 2/5

Step-by-step explanation:

:)))))

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.