Question

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

Answer 1

B. 14

Explanation:

Answer 2

B. 14

Explanation:

The sum of infinite geometric series is given by

`(a)/(1-r)`

0.126126126... =
`(126)/(1000)+(126)/(1000000)+(126)/(1000000000)`

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

0.126126126... =
`(126/1000)/(1-1/1000)` =126/999 = 14/111

∴ 0.126126126... = 14/111

So, the numerator of the reduced fraction is 14.