Mathigon: Algebra: Sequences and Patterns

Sequences are all about recognizing patterns. A module of 11 lessons builds pupils' understanding of sequences through pattern analysis. The practice connects the analysis to linear and exponential equations. This is the first module in...

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...

Faced with a series of numbers, we need to find the following few values of the sequence. This short video shows an example of finding the following values in a sequence where we must find the pattern of adding a specific number each...

This video looks again at finding the algebraic pattern in sequences. In the example, we are looking at a figure where several toothpicks (or lines) are added each time, and you need to find how many toothpicks will be in the 50th...

This lesson focuses on Pascal's Triangle, a number pyramid in which every cell is the sum of the two cells directly above. It contains all binomial coefficients, as well as many other number sequences and patterns.

Learners who view this video should gain a better understanding of the difference between a geometric sequence and an arithmetic sequence. The video includes an example of each, with step-by-step instructions on how to figure out which...

Briefly show your class or individual learners how to find the common difference in an arithmetic sequence. A quick and simple video, this resource should guide pupils toward understanding the concept of common difference. Appropriate...

Briefly show your class or individual learners how to find the common difference in an arithmetic sequence. A quick and simple video, this resource should guide pupils toward understanding the concept of common difference. Appropriate...

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...

This lesson focuses on arithmetic and geometric sequences using several examples and practice exercises.