Geometric Sequences

Front

Define 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 formula for the nth term of a geometric sequence?

Back

Front

Find the common ratio of the sequence: 2, 6, 18, 54, ...

Back

Front

If the first term of a geometric sequence is 5 and the common ratio is 2, what are the first four terms?

Back

The first four terms are: 5, 10, 20, 40.

Front

What is the common ratio in the sequence: 10, 30, 90, 270, ...?

Back

Front

Calculate the next three terms of the sequence: -4, -12, -36, -108, ...

Back

The next three terms are: -324, -972, -2916.

Front

Back

Front

Back

The first four terms are: 10, 30, 90, 270.

Front

What is the formula to find the nth term of a geometric sequence if the first term and common ratio are known?

Back

Front

Identify the common ratio in the sequence: 4, -16, 64, -256, ...

Back