Final answer:
The sum of the arithmetic series with a first term of 2, a common difference of 4, and last term 200 is 5050, which is not one of the provided options.
correct answer is not listed.
Step-by-step explanation:
The sum of an arithmetic series can be found using the formula S = n/2 (a + l), where n is the number of terms, a is the first term, and l is the last term.
To find the number of terms, we can use the formula for the nth term of an arithmetic sequence: l = a + (n - 1)d.
In our case, we have a = 2, d = 4, and l = 200, so we can find n by rearranging the formula: 200 = 2 + (n - 1)4 which simplifies to n = 50.
Plugging these into the sum formula, we get S = 50/2 (2 + 200) = 25 × 202 = 5050.
Therefore, none of the provided options A, B, C, or D are correct; the correct answer is not listed.