Question

Which statements describe characteristics of a geometric sequence? Check all that apply.

There is a common difference between terms

Each term is multiplied by the same number to arrive at the next term.

The sequence increases or decreases in a linear pattern

There is a common ratio between terms.

Answer 1

The statements that describe characteristics of a geometric sequence are:

- **Each term is multiplied by the same number to arrive at the next term.**
- **There is a common ratio between terms.**

The other statements refer to an arithmetic sequence rather than a geometric sequence:

- **There is a common difference between terms** (this describes an arithmetic sequence).
- **The sequence increases or decreases in a linear pattern** (this also describes an arithmetic sequence).