1.3 Geometric Sequences and Series

Key Ideas

• Modelling real-life situations with the structure of arithmetic and geometric sequences and series allows for prediction, analysis and interpretation.

• Numbers and formulae can appear in different, but equivalent, forms, or representations, which can help us to establish identities.

• Formulae are a generalisation made on the basis of specific examples, which can then be extended to new examples.

• Patterns in numbers inform the development of algebraic tools that can be applied to find unknowns.

• I can Explain the difference between an Arithmetic and Geometric sequence

• I understand that there are other types of sequences besides Arithmetic and Geometric

• I can us the formulae for the n-th term and the sum of the first n terms of the sequence.