Question

Is this sequence arithmetic,
geometric
or neither?
3.5. -4, -7.5...

Answer 1

The given sequence is neither arithmetic nor geometric.

Step-by-step explanation:

The given sequence is neither arithmetic nor geometric.

An arithmetic sequence is characterized by a common difference between each term, while a geometric sequence is characterized by a common ratio between each term.

In the given sequence, there is no constant difference or ratio between consecutive terms. Therefore, it is neither arithmetic nor geometric.

Answer 2

Neither

Step-by-step explanation:

If the sequence was geometric, each term would be multiplied by the same multiplier to get to the next one. We can check if the multiplier is the same by taking a term and dividing it by the term before it. For example,

-4/3.5=-1.14285714

-7.5/-4=1.87500

The multiplier between the terms aren't the same so it's not geometric.

For arithmetic, the distances between each term would be the same, and we can take the same idea from the geometric sequence, but use subtraction instead of division

-4-3,5=-7.5

-7.5-(-4)=-3.5

Again, the distances aren't the same, so it's not arithmetic.