Geometric and Arithmetic Sequences

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

What is the explicit formula for a geometric sequence?

Back

Front

What is an arithmetic sequence?

Back

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

Front

What is the explicit formula for an arithmetic sequence?

Back

Front

How do you find the common ratio in a geometric sequence?

Back

Front

How do you find the common difference in an arithmetic sequence?

Back

Front

What are the next three terms in the arithmetic sequence: 1, 8, 15, ...?

Back

The next three terms are 22, 29, and 36.

Front

Is the sequence 52.5, 37.5, 22.5, 7.5, ... geometric or arithmetic?

Back

The sequence is arithmetic.

Front

Is the sequence 13, 18, 23, 28, ... geometric or arithmetic?

Back

The sequence is arithmetic.

Front

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

Back

The common ratio is 2.