hppichic33 hppichic33
  • 23-05-2022
  • Mathematics
contestada

Please help

Find the sum of the given infinite geometric series

Please help Find the sum of the given infinite geometric series class=

Respuesta :

goddessboi goddessboi
  • 23-05-2022

Answer:

A) [tex]33.66[/tex]

Step-by-step explanation:

The sum of an infinite geometric series in the form of [tex]\displaystyle \sum_{n=0}^\infty ar^n[/tex] is equivalent to [tex]\displaystyle S_{\infty}=\frac{a_1}{1-r}[/tex] where [tex]r[/tex] is the common ratio and [tex]a_1[/tex] is the first term.

Hence, [tex]\displaystyle S_{\infty}=\frac{a_1}{1-r}=\frac{34}{1-(-0.01)}=\frac{34}{1.01}\approx33.66[/tex]

Answer Link

Otras preguntas

Emma is 9 1/4 years old. How many MONTHS old is Emma? Please Help!
Find the diameter of the base of a right cylinder if the surface area is 128(pi) and the height is 12cm.
How many characters' thoughts does the reader have access to in a second-person narrative? A) one B) two C) all D) none E) three
If f(9)=4(9)-12, which function gives f(x)?
What is the speed of an object at rest? a. 15 km/h b. 0 km/h c. 1 km/h d. This cannot be determined without further information.
A right cylinder has a diameter of 40 mm and a height of 30 mm, as shown. Semester Test, Part 1 What is the volume of the cylinder? a. 37,680 mm3 b. 1256 mm3
How does a geographer define region?
in the early 1930s, millions of ukrainians died as a result of... trench warfare, glasnost, perestroika, collectivization
what is the value of x in the equation 4x+8y=40 when y=0.8
What are welfare payments or consumer subsidies