WiggleJiggle
WiggleJiggle WiggleJiggle
  • 23-04-2021
  • Mathematics
contestada

. Find the sum of the infinite series, if it exists.

-270+135-67.5+⋯

Respuesta :

reeserl reeserl
  • 23-04-2021

Answer:

-180

Step-by-step explanation:

135/-270 = -1/2

67.5/135 = -1/2

The series is an infinite geometric series with r = -1/2

Since -1 < |r| < 1, the series has a sum

and equals a/(1 - r)       a = -270

S = a/(1 - r) = -270/(1 + 1/2) = -270/(3/2) = -180

Answer Link

Otras preguntas

Why is gravity an example of scientific law?
What is a medial moraine, and how is it formed?
Christina is making a blanket for her baby granddaughter. The blanket will have ribbon around all 4 edges. There will be:94 feet of ribbon on the top edge94 fee
In which one of the following sentences could you best use a semicolon? A If you ask me Jerry is a tennis whiz. B When she is worried Lucille eats a lot. C Jerr
Why is gravity an example of scientific law?
What is a medial moraine, and how is it formed?
jessie sorted the coins in her bank. she made 7 stacks of 6 dimes and 8 stacks of 5 nickels. she then found 1 dime and 1 nickel. how many dimes and nickels does
the area where rock under stress breaks and triggers an earthquake is called the ___________
which is equal to 52 tens a 52,010 , b 5,210, c 5,200 d 520
Allison has 6 blue pencils and 10 yellow pencils.sadie has 24 pencils that are either blue or yellow.the ratio of blue pencils to yellow pencils is the same fo