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:
Geometric Sequences Matching is an interactive and hands on way for students to practice identifying explicit and recursive formulas of geometric sequences. Students match six geometric sequences to their explicit and recursive formulas. This activity can be used in a variety of ways including as an in class pairs activity, homework assignment, interactive notebook page, or individual assessment of student understanding.
If your students need practice on writing formulas, finding the nth term, and determining the type of sequence for arithmetic and geometric patterns, then this will be great practice for them. This activity can be done as a game similar to tic-tac-toe or just as a worksheet.
Students learn the explicit formula for geometric sequences through these doodle notes. Additionally, the sum of infinite and finite geometric sequences formulas are introduced with examples for practice. Doodle notes are a great way to activate the creative side of the brain while learning material that often just uses the logical side.
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