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. It can be found by dividing any term by the previous term.

Front

How do you find the nth term of a geometric sequence?

Back

Front

What is the explicit formula for a geometric sequence?

Back

Front

Given the sequence 2, 6, 18, ..., what is the common ratio?

Back

The common ratio is 3, since each term is multiplied by 3 to get the next term (2 * 3 = 6, 6 * 3 = 18).

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: 15, 45, 135, ...

Back

Front

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

Back

Front

What is the zeroth term of the geometric sequence: 125, 25, 5, ...?

Back

The zeroth term is 625.

Front

What is the next term of the geometric sequence: 4, 16, 64, ...?

Back

The next term is 256.