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

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