Colleen Werner's lesson "Introduction to Sequences" Objective: SWBAT differentiate among arithmetic, geometric and other types of sequences and understand that sequences and series can be used to model real world phenomena. Big Idea: Detecting patterns in numbers helps students see the mathematical relationships that underlie real world phenomena. In this colorful lesson, students look at patterns of numbers and uncover the rule used to generate them.
Using Algebra to Find the Sums of Sequences Algebra can help you add a series of numbers (the sum of sequences) more quickly than you would be able to with straight addition. Adding integers, squares, cubes, and terms in an arithmetic or geometric sequence is simple with these algebraic formulas: