Geometric and Arithmetic 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

Identify the common difference in the sequence: 2, 5, 8, 11, ...

Back

The common difference is 3.

Front

Identify the common ratio in the sequence: 3, 6, 12, 24, ...

Back

The common ratio is 2.

Front

What is the nth term formula for an arithmetic sequence?

Back

Front

What is the nth term formula for a geometric sequence?

Back

Front

Determine if the sequence 1, 4, 9, 16, 25, ... is arithmetic, geometric, or neither.

Back

The sequence is neither.

Front

Calculate the 10th term of the arithmetic sequence: 2, 2.5, 3, 3.5, ...

Back

The 10th term is 6.5.

Front

Determine if the sequence 5, 10, 20, 40, ... is arithmetic, geometric, or neither.

Back

The sequence is geometric.

Front

What is the common difference of the sequence: 3, 1, -1, -3, -5, ...?

Back

The common difference is -2.