Answer:
A. neither; 7, -20, 61
Step-by-step explanation:
The given terms do not have a common difference, so the sequence is not arithmetic.
The given terms do not have a common ratio, so the sequence is not geometric. (Any sequence with 0 as a term cannot be geometric.)
The sequence is <em>neither</em> arithmetic or geometric.
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The first differences of the terms of this sequence are ...
-1, 1, -3
If we choose answer A (the only selection with "neither"), it suggests the next 3 terms are 7, -20, 61. These terms make the next differences be 9, -27, and 81. After the first term, the differences of the proposed sequence have a common ratio of -3. However, the first term needs to be 1/3 in order for that rule to be consistent for the whole sequence.
