Geometric Sequences

1. Definition of a Geometric Sequence

2. Common Ratio

2.1. Meaning of Common Ratio \(r\)

2.2. Finding \(r\) from Terms

3. General Term of a Geometric Sequence

3.1. Formula for \(a_n\)

3.2. Using \(a_n\) to Find Unknown Terms

4. Behaviour of a Geometric Sequence

4.1. Case \(|r| > 1\): Growth

4.2. Case \(|r| < 1\): Decay

4.3. Negative Common Ratio

5. Examples of Geometric Sequences

5.1. Simple GP Examples

5.2. Real-Life GP Patterns