Evaluate the series 12 + 6 + 3 + . . .
This is an infinite geometric series with a common ratio of 1/2 and a first term of 12.
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, a = 12 and r = 1/2.
Using the formula, we can calculate the sum:
S = 12 / (1 - 1/2)
S = 12 / (1/2)
S = 12 * (2/1)
S = 24
Therefore, the sum of the series 12 + 6 + 3 + ... is 24.