Question

Determine whether each sequence is Arithmetic or Geometric.

Answer 1

neither

Answer 2

[AI-generated answer — Explain Bot]

To determine whether a sequence is arithmetic or geometric, you need to understand the key characteristics of each type of sequence.

1. Arithmetic Sequence: In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term. For example, the sequence 2, 5, 8, 11, 14 is an arithmetic sequence because the difference between successive terms is always 3.

To determine if a sequence is arithmetic, you can follow these steps:
- Calculate the difference between consecutive terms in the sequence.
- If the difference is constant throughout the sequence, it is an arithmetic sequence.
- If the difference is not constant, it is not an arithmetic sequence.

2. Geometric Sequence: In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio. For example, the sequence 2, 6, 18, 54, 162 is a geometric sequence because each term is obtained by multiplying the previous term by 3.

To determine if a sequence is geometric, you can follow these steps:
- Calculate the ratio between consecutive terms in the sequence.
- If the ratio is constant throughout the sequence, it is a geometric sequence.
- If the ratio is not constant, it is not a geometric sequence.

By applying these steps, you can determine whether a given sequence is arithmetic or geometric.