Geometric 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 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

Write the explicit formula for a geometric sequence.

Back

Front

Find the common ratio of the geometric sequence: 3, 9, 27, ...

Back

The common ratio is 3, since each term is multiplied by 3 to get the next term.

Front

What is the 4th term of the geometric sequence: 2, 6, 18, ...?

Back

The 4th term is 54.

Front

Calculate the 5th term of the geometric sequence: 5, 15, 45, ...

Back

The 5th term is 405.

Front

What are the next three terms in the geometric sequence: 512, 256, 128, ...?

Back

The next three terms are 64, 32, 16.

Front

Write the explicit equation for the geometric sequence: 10, 20, 40, 80, ...

Back

Front

What is the 6th term of the geometric sequence: 4, 12, 36, ...?

Back

The 6th term is 972.

Front

Find the next three terms in the geometric sequence: 4, 12, 36, 108, ...

Back

The next three terms are 324, 972, 2916.