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 chief becoming more important than a hunter in lord of the flies? (ch7)
Which are steps taken by the first emperor of a united China to unify the country? Choose all answers that are correct. A. taught Chinese history and government
What were four factors that contributed to industrialization in Britain?
From France’s point of view, do you think the Congress of Vienna’s decisions were fair?
why was acquiring Guam important for the United States in the Spanish American war
Which circles have a circumference of 24π units? Choose all answers that are correct. A. a circle with a radius of 6 units B. a circle with a radius of 12 units
What are the values of x in the equation x(x-6)=4(x+6)
Which sentence uses a verb that agrees with its pronoun subject? A. Neither of the sandwiches are fresh. B. Some of my father's hobbies is expensive. C. Somebod
What always affects measurement error in an experiment?
what happened when Romans no longer wanted a monarchy?