Mathigon: Algebra: Arithmetic and Geometric Sequences

Arithmetic and geometric sequences are linear and geometric patterns. Help pupils understand the relationship and see the connection with an activity that asks them to write the rules and classify the patterns correctly. A sorting...

Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...

Examine the importance of sequence and series through contextual situations. Here, learners partake in a five-day unit that begins with the basics of arithmetic and geometric sequences and series. As it progresses, pupils apply the...

Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...

In this algebra worksheet, students analyze patterns and identify it as arithmetic, geometric, or neither.  There are 30 questions with answers.

This video introduces geometric sequences as "a special sequence of numbers where each successive number is a fixed multiple of the number before it." Sal works slowly in the beginning but picks up the pace as he solves word problems...

Old mathematicians never die; they just lose some of their functions. Studying sequences gives scholars an opportunity to use a new notation. Learners write functions to model arithmetic and geometric sequences and use them to find new...

Finding patterns—seems easy enough. High schoolers learn the definition of a sequence in a concept video. Four problem videos then cover finding a particular term of a sequence given an explicit formula and identifying arithmetic...

The lesson discusses arithmetic and geometric sequences and series. The resource consists of class notes, calculator tips, examples, and practice problems with solutions. The teacher resource demonstrates the origins of the formulas.

Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....