Final Answer:
The sum of the finite series 4, 2, 0, -2, -4 is -4. Option B is answer.
Step-by-step explanation:
To find the sum of an arithmetic series, use the formula S = (n/2) * (2a + (n-1)d), where S is the sum, a is the first term, n is the number of terms, and d is the common difference.
In this series, the first term a is 4, the common difference d is -2, and there are 5 terms (n = 5). Plug these values into the formula:
S= 5/2 (2×4+(5−1)(−2))
Simplifying the expression gives S = -4, so the sum of the series is -4.
Option B is answer.