Final answer:
The sum of the infinite geometric series is 45.
Step-by-step explanation:
To find the sum of an infinite geometric series, we use the formula:
S = a / (1 - r)
where S is the sum, a is the first term, and r is the common ratio.
In this case, a₁ = 18 and r = 0.6. Plugging these values into the formula, we get:
S = 18 / (1 - 0.6) = 18 / 0.4 = 45.
Therefore, the sum of the infinite geometric series is 45.