Arithmetic and Geometric Sequences Review

Front

What is a common ratio in a geometric sequence?

Back

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

Front

Identify the type of sequence: 2, 4, 8, 16, ...

Back

Geometric (common ratio is 2).

Front

Identify the type of sequence: 5, 10, 15, 20, ...

Back

Arithmetic (common difference is 5).

Front

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

Back

a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

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

Back

a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

Find the common difference: 3, 7, 11, 15, ...

Back

4 (the difference between consecutive terms).

Front

Find the common ratio: 1, 3, 9, 27, ...

Back

3 (each term is multiplied by 3 to get the next term).

Front

Is the sequence 10, 7, 4, 1, ... arithmetic, geometric, or neither?

Back

Arithmetic (common difference is -3).

Front

What is the common ratio of the sequence: 5, 25, 125, ...?

Back

5 (each term is multiplied by 5).

Front

Identify the type of sequence: 1, 2, 4, 8, 16, ...

Back

Geometric (common ratio is 2).