3-2 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. This difference is called the common difference.

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

Define common difference in an arithmetic sequence.

Back

The common difference is the constant amount that each term in an arithmetic sequence increases or decreases by.

Front

Define common ratio in a geometric sequence.

Back

The common ratio is the fixed number that each term in a geometric sequence is multiplied by to get the next term.

Front

What is the explicit formula for an arithmetic sequence?

Back

Front

What is the explicit formula for a geometric sequence?

Back

Front

How do you find the next term in an arithmetic sequence?

Back

To find the next term in an arithmetic sequence, add the common difference to the last term.

Front

How do you find the next term in a geometric sequence?

Back

To find the next term in a geometric sequence, multiply the last term by the common ratio.

Front

What is the common difference of the sequence: 5, 10, 15, 20, ...?

Back

The common difference is 5.

Front

What is the common ratio of the sequence: 3, 6, 12, 24, ...?

Back

The common ratio is 2.