Question

What is the sum of the first 30 terms of this arithmetic series? - 5, - 2, 1, 4, .... select one:

a. 1,126
b. 1,882
c. 1,002
d. 1,155

Answer 1

To find the sum of an arithmetic series with a given first term and common difference, use the formula S = (n/2)(2a + (n-1)d). Plugging in the values, the sum of the first 30 terms of this arithmetic series is 1155.

Step-by-step explanation:

To find the sum of an arithmetic series, you can use the formula:

S = (n/2)(2a + (n-1)d)

Where S is the sum, n is the number of terms, a is the first term, and d is the common difference.

In this case, the first term is -5 and the common difference is 3. Plugging in the values, we get: S = (30/2)(2*(-5) + (30-1)*3) = (15)(-10 + 29*3) = (15)(-10 + 87) = (15)(77) = 1155.

Therefore, the sum of the first 30 terms of this arithmetic series is 1155.