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, known as 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

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

Back

Front

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

Back

Front

What is the formula for the nth term of an arithmetic sequence?

Back

Front

What is the formula for the nth term of a geometric sequence?

Back

Front

Identify the common difference in the sequence: 3, 7, 11, 15, ...

Back

The common difference is 4.

Front

Identify the common ratio in the sequence: 2, 6, 18, 54, ...

Back

The common ratio is 3.

Front

What type of sequence is 400, 200, 100, 50, 25, ...?

Back

It is a geometric sequence.

Front

Find the next term in the sequence: 81, 9, 1, 1/9, ...

Back

The next term is 1/81.