Identify the following series as arithmetic, geometric, both, or neither. -3 + 3 - 3 + 3 - 3 + . . neither both arithmetic geometric

 The correct option is (D) geometric.

Step-by-step explanation:  We are given to identify the type of the following series as arithmetic, geometric, both or neither:

-3 + 3 - 3 + 3 - 3 + . . . .

We can see that the first term of the series is - 3.

(A) To be an arithmetic series, each term differs from its preceding term by the same quantity.

But, here we notice that

So, the difference is not same and hence the given series cannot be arithmetic.

(B) To be a geometric series, the ratio of any term to its preceding same must be same.

We notice that

So, the given series is a geometric one with fert term -3 and common ratio -1.

Thus, the given series is geometric.

Option (D) is CORRECT.