Identifying Arithmetic and Geometric Sequences

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

How do you identify an arithmetic sequence?

Back

To identify an arithmetic sequence, check if the difference between consecutive terms is the same.

Front

How do you identify a geometric sequence?

Back

To identify a geometric sequence, check if the ratio of consecutive terms is the same.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount added to each term to get the next term in an arithmetic sequence.

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the constant factor by which each term is multiplied to get the next term in a geometric sequence.

Front

Is the sequence 4, 8, 32 arithmetic, geometric, or neither?

Back

Neither.

Front

What is the common ratio of the sequence -9, 27, -81, 243?

Back

-3.

Front

If the sequence is 7, 28, what would the next term be if it were arithmetic?

Back

49.

Front

What is the common ratio of the sequence -10, -50, -250?

Back

5.