netflixacc0107
netflixacc0107 netflixacc0107
  • 10-12-2018
  • Mathematics
contestada

The infinite geometric sum formula can be used to write 0.126126126...as a fraction. What is the numerator of this reduced fraction?

A. 7
B.14
C.42
D.126

Respuesta :

meeraasrinivas
meeraasrinivas meeraasrinivas
  • 10-12-2018

Answer:

B. 14

Step-by-step explanation:

The sum of infinite geometric series is given by

[tex]\frac{a}{1-r}[/tex]

0.126126126... = [tex]\frac{126}{1000}+\frac{126}{1000000}+\frac{126}{1000000000}[/tex]

Here a =126/1000, r= 1/1000

0.126126126... = [tex]\frac{126/1000}{1-1/1000}[/tex] =126/999 = 14/111

∴ 0.126126126... = 14/111

So, the numerator of the reduced fraction is 14.

Answer Link
madisonbeachmeb madisonbeachmeb
  • 05-01-2020

Answer:

B. 14

Step-by-step explanation:

Answer Link

Otras preguntas

The expression that relates emf, potential, current, and resistance is Ohm's law. True or False
Polls show that the country overwhelmingly agrees that we need a high-speed rail system to connect the east and west coasts and everything in between. The presi
Why did the London Company sponsor the Jamestown settlement?
What was the effect of increased farming and trade in Egypt
What form of government was born in the ancient Greek culture?
Which of the following statements best describes the use of the term “new world”? a. "New world" referred to the expanded understanding of the Earth's landmass
Which of the following was NOT an African good traded in exchange for European goods? a. ivory b. gold c. guns d. slaves
Write 0.27 as a fraction
If f(x)=6x^2+4x-11, then f(-5)=?
Surface waves cause the most damage, but they are ironically called _____. Loose waves Love waves Light waves Lemon waves