Mathematics / Geometric Sequence

 

Geometric Sequence

Section A: Definition and Rules

1. Definition:

A geometric sequence is a sequence with a constant ratio between consecutive terms. This ratio is called the common ratio, r.

Example: Is the sequence geometric? If so, find the common ratio.

10, 40, 160, 640,...

For more information about the definition of Geometric Sequence please visit the link👍😇

 

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 2. Recursive rule and Explicit rule:

• Recursive Rule

• Explicit Rule

Examples: Write a recursive rule and an explicit rule for the following Geometric Sequence.

1, -3, 9, -27,...

Solution: 

Explicit rule   

Recursive rule