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MrMuchimi
3 years ago
13

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

ion?
A. 7
B.14
C.42
D.126
Mathematics
2 answers:
Kryger [21]3 years ago
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]3 years ago
7 0

Answer:

B. 14

Step-by-step explanation:

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