Tommygdkfoe
Tommygdkfoe Tommygdkfoe
  • 24-01-2019
  • Mathematics
contestada

what is the sum of this infinite geometric series please help

what is the sum of this infinite geometric series please help class=

Respuesta :

aachen
aachen aachen
  • 24-01-2019

Answer:

Option A is correct, i.e. Sum = 1.

Step-by-step explanation:

Given is the infinite geometric series, [tex]\sum\limits^\infty_{i=1} {(0.5)^i}[/tex]

First term is, a = (0.5)¹ = 0.5

and the common ratio is, r = (0.5)²/(0.5)¹ = 0.5

We can find the sum of infinite geometric series using the formula as follows:-

Sum = a/(1-r)

Sum = 0.5/(1 - 0.5)

Sum = 0.5/0.5

Sum = 1

Hence, option A is correct, i.e. Sum = 1.

Answer Link

Otras preguntas

what is a rarefaction
what is the kinetic energy of a 3-kilogram ball that is rolling at 2 meters per second?
In a grassland ecosystem, if the pollution of eagles suddenly decreased, what will most likely be the effect on the rest of the ecosystem.   A. The ecosystem wi
what is the kinetic energy of a 3-kilogram ball that is rolling at 2 meters per second?
What animal would probibly live closer to Antartica, the cape Buffalo of southern Africa or the wallaby of southern Australia? How do you know?
How do we write 230,451 in word form?
Andy lives in the southern hemisphere . What will he most likely experience in August
What is another name for curl-ups? (8 letter word)
what two word name makes up the scientific name of each kind of organism?
The Declaration of Independence states that if government does not protect citizens' rights, citizens have the authority to