Question

Find the sum of the finite series: 4, 2, 0, negative 2, negative 4.

a. 0
b. negative 4
c. negative 2
d. 4

Answer 1

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.