Answer:
1/4
Step-by-step explanation:
The sum of an infinite geometric series is given by the formula ...
S = a/(1 -r)
where 'a' is the first term, and r is the common ratio.
Application
Here, the first term is 1/12, and the common ratio is ...
(1/18)/(1/12) = 12/18 = 2/3
Then the sum is ...
S = (1/12)/(1 -2/3) = (1/12)/(1/3) = 3/12 = 1/4
The sum of the infinite series is 1/4.
