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AQA GCSE Maths Geometric sequences

Geometric sequences

This page covers the following topics:

1. Basics of geometric sequences
2. Terms in a geometric sequence

In a geometric sequence, all terms are multiplied or divided by the same value. For example, the sequence 2, 4, 8, 16, ... is geometric, as each term is twice the previous term.

Basics of geometric sequences

The term to term rule in a geometric sequence is multiplying or dividing by the same value, also known as the common ratio (r). The common ratio is determined by dividing one term by the previous term.

Terms in a geometric sequence

1

Is the sequence 1, 2.7, 8, βˆ’15, ... geometric?

Is the sequence 1, 2.7, 8, βˆ’15, ... geometric?

2

Calculate the next three terms of the geometric sequence 11, 7.7, 5.39, ....

Calculate the next three terms of the geometric sequence 11, 7.7, 5.39, ....

3

Is the sequence 6, 3, 1.5, ... geometric? Explain your answer.

Is the sequence 6, 3, 1.5, ... geometric? Explain your answer.

4

What are the next three terms of the geometric sequence 12, 6, 3, ...?

What are the next three terms of the geometric sequence 12, 6, 3, ...?

5

Is the sequence 1.5, βˆ’3, 6, βˆ’12, ... geometric? Explain your answer.

Is the sequence 1.5, βˆ’3, 6, βˆ’12, ... geometric? Explain your answer.

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