Final answer:
The sum to infinity of the geometric progression with a first term of 4 and a common ratio of 1/2 is 8, not matching any of the provided options a) 4/3, b) 2/3, c) 1/2, or d) 1/3.
Step-by-step explanation:
To find the sum to infinity of a geometric progression, the formula is S = a / (1 - r), where 'S' is the sum of the series, 'a' is the first term, and 'r' is the common ratio. In this particular case, the first term 'a' is 4, and the common ratio 'r' is 1/2. Plugging these values into the formula we get:
S = 4 / (1 - 1/2) = 4 / (1/2) = 8
Therefore, the sum to infinity for this geometric sequence is 8, which is not one of the options provided in the question. It's important to carefully read the question and the answer choices before making a selection.