Modelling real-life situations with the structure of arithmetic and geometric sequences and series allows for prediction, analysis and interpretation.
Patterns in numbers inform the development of algebraic tools that can be applied to find unknowns.
Numbers and formulae can appear in different, but equivalent, forms, or representations, which can help us to establish identities.
Formulae are a generalization made on the basis of specific examples, which can then be extended to new examples.
I am able to expand expressions written in sigma notation
I can use Sigma notation to sum (add) terms
I can analyse, interpret and predict where a model is not perfectly arithmetic in real life.
Summation Notation - Summation Notation is explained using a bunch of examples!
by Patrick JMT
What is a Sequence? Basic Sequence Info. In this video, I discuss what a sequence is, what it means for a sequence to converge or diverge, and do some examples.
What is a Series - I try to give a basic idea of what a series is. I also briefly discuss geometric series and the test for divergence.