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:
In this lesson, students have opportunities to identify properties and to sort, classify, organize, and display data. They solve problems and make, explain, and defend conjectures. They extend their knowledge by making generalizations and consolidating their thinking.
Students revisit linear and exponential scenarios through equations, tables and graphs. They will use horizontal shifts to create sequences with initial values at n=1. They will practice writing functions using sequence notation. Given selected values for a sequence, students will find the initial value, common difference or common ratio then write the formula for the sequence. They will use the formulae for finite series. This mission is aligned with Common Core State Standards: HSF.LE.A.2