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

Question

3 years ago

13

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

2 answers:

Kryger [21] · Answer 1 · 2021-12-09T22:19:33+03:00

8 0

Answer:

B. 14

Step-by-step explanation:

The sum of infinite geometric series is given by

$\frac{a}{1-r}$

0.126126126... = $\frac{126}{1000}+\frac{126}{1000000}+\frac{126}{1000000000}$

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

0.126126126... = $\frac{126/1000}{1-1/1000}$ =126/999 = 14/111

∴ 0.126126126... = 14/111

So, the numerator of the reduced fraction is 14.

AnnyKZ [126] · Answer 2 · 2021-12-09T23:23:41+03:00

7 0

Answer:

B. 14

Step-by-step explanation: