The sum of the arithmetic series $(-300)+(-297)+(-294)+\ldots+306+309$ is
(A) 309
(B) 927
(C) 615
(D) 918
(E) 18
The sum of the arithmetic series $(-300)+(-297)+(-294)+\ldots+306+309$ is
(A) 309
(B) 927
(C) 615
(D) 918
(E) 18

## Solution

The given series is

$$
(-300)+(-297)+(-294)+\ldots+(-3)+0+3+\ldots+294+297+300+303+306+309
$$

The sum of the terms from -300 to 300 is 0 . The sum of all the terms is thus $303+306+309=918$.

ANSWER: (D)