Which of the following is an arithmetic sequence? 1, -3, 9, -27,... -2, 4, -6, 8, ... -8, -6, -4, -2, ... 2, 4, 8, 16, ...

Given the proposed interrogate, the answer(s) to the following are identified as “-8, -6, -4, -2…” and “2, 4, 8, 16”.

Step-by-step explanation:

Accountable Conditions: Although the question implies there is only one individual mathematical statement which fits the conditions stated in the interrogate, both sequences listed above fit such, thus are both correct.

To evaluate for such, a comprehension of an “Arithmetic Sequence” is obligated:

In arithmetic sequences, the presence of a consecutive deviation or fixed pattern must be consistent and present throughout each and individual number or value contained within the particular set.

For Example: 3, 5, 7, 9, 11, 13, …

The deviation, or the number required to produce the subsequent value is identified as +2.

Now, apply such definitions to the peculiar problem:

A. 1, -3, 9, -27,… has -4, +12, -36, hence is not consistent. Thus, A cannot be correct.

B. -2, 4, -6, 8,… has +6, -10, +14, hence does not obtain a persistent consecutive pattern.

C. -8, -6, -4, -2… has +2, +2, +2, hence is consistent. Thus, C is correct.

D. 2, 4, 8, 16,… has +2, +2, +2, hence is consistent. Thus, D is correct.